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Finding the Fourth Proportional to 406,997.70, 610,496.55 and 185,813.70

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Solution

The fourth proportional to 406,997.70, 610,496.55 and 185,813.70 is: 278,720.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,997.70 : 610,496.55 = 185,813.70 : x
  2. Step 2: Convert to fraction form
    406,997.70/610,496.55 = 185,813.70/x
  3. Step 3: Cross multiply
    406,997.70x = 610,496.55 × 185,813.70
  4. Step 4: Simplify right side
    406,997.70x = 113,438,622,792.74
  5. Step 5: Solve for x
    x = 113,438,622,792.74/406,997.70
  6. Step 6: Final answer
    x = 278,720.55

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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.