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Finding the Fourth Proportional to 463,463.20, 695,194.80 and 410,975.20

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Solution

The fourth proportional to 463,463.20, 695,194.80 and 410,975.20 is: 616,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,463.20 : 695,194.80 = 410,975.20 : x
  2. Step 2: Convert to fraction form
    463,463.20/695,194.80 = 410,975.20/x
  3. Step 3: Cross multiply
    463,463.20x = 695,194.80 × 410,975.20
  4. Step 4: Simplify right side
    463,463.20x = 285,707,821,968.96
  5. Step 5: Solve for x
    x = 285,707,821,968.96/463,463.20
  6. Step 6: Final answer
    x = 616,462.80

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.