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Finding the Fourth Proportional to 423,167.49, 634,792.14 and 123,641.24

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Solution

The fourth proportional to 423,167.49, 634,792.14 and 123,641.24 is: 185,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,167.49 : 634,792.14 = 123,641.24 : x
  2. Step 2: Convert to fraction form
    423,167.49/634,792.14 = 123,641.24/x
  3. Step 3: Cross multiply
    423,167.49x = 634,792.14 × 123,641.24
  4. Step 4: Simplify right side
    423,167.49x = 78,486,484,157.89
  5. Step 5: Solve for x
    x = 78,486,484,157.89/423,167.49
  6. Step 6: Final answer
    x = 185,473.80

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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.