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Finding the Fourth Proportional to 468,432.96, 703,349.28 and 461,434.56

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Solution

The fourth proportional to 468,432.96, 703,349.28 and 461,434.56 is: 692,841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,432.96 : 703,349.28 = 461,434.56 : x
  2. Step 2: Convert to fraction form
    468,432.96/703,349.28 = 461,434.56/x
  3. Step 3: Cross multiply
    468,432.96x = 703,349.28 × 461,434.56
  4. Step 4: Simplify right side
    468,432.96x = 324,549,665,543.12
  5. Step 5: Solve for x
    x = 324,549,665,543.12/468,432.96
  6. Step 6: Final answer
    x = 692,841.22

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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.