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Finding the Fourth Proportional to 466,362.43, 699,543.65 and 129,403.14

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Solution

The fourth proportional to 466,362.43, 699,543.65 and 129,403.14 is: 194,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,362.43 : 699,543.65 = 129,403.14 : x
  2. Step 2: Convert to fraction form
    466,362.43/699,543.65 = 129,403.14/x
  3. Step 3: Cross multiply
    466,362.43x = 699,543.65 × 129,403.14
  4. Step 4: Simplify right side
    466,362.43x = 90,523,144,877.06
  5. Step 5: Solve for x
    x = 90,523,144,877.06/466,362.43
  6. Step 6: Final answer
    x = 194,104.71

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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.