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Finding the Fourth Proportional to 402,741.86, 604,081.17 and 234,154.71

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Solution

The fourth proportional to 402,741.86, 604,081.17 and 234,154.71 is: 351,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,741.86 : 604,081.17 = 234,154.71 : x
  2. Step 2: Convert to fraction form
    402,741.86/604,081.17 = 234,154.71/x
  3. Step 3: Cross multiply
    402,741.86x = 604,081.17 × 234,154.71
  4. Step 4: Simplify right side
    402,741.86x = 141,448,451,177.81
  5. Step 5: Solve for x
    x = 141,448,451,177.81/402,741.86
  6. Step 6: Final answer
    x = 351,213.69

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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.