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Finding the Fourth Proportional to 682,190.84, 941,792.45 and 410,319.42

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Solution

The fourth proportional to 682,190.84, 941,792.45 and 410,319.42 is: 566,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,190.84 : 941,792.45 = 410,319.42 : x
  2. Step 2: Convert to fraction form
    682,190.84/941,792.45 = 410,319.42/x
  3. Step 3: Cross multiply
    682,190.84x = 941,792.45 × 410,319.42
  4. Step 4: Simplify right side
    682,190.84x = 386,435,731,844.38
  5. Step 5: Solve for x
    x = 386,435,731,844.38/682,190.84
  6. Step 6: Final answer
    x = 566,462.80

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.