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Finding the Fourth Proportional to 411,151.85, 616,727.78 and 234,004.85

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Solution

The fourth proportional to 411,151.85, 616,727.78 and 234,004.85 is: 351,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,151.85 : 616,727.78 = 234,004.85 : x
  2. Step 2: Convert to fraction form
    411,151.85/616,727.78 = 234,004.85/x
  3. Step 3: Cross multiply
    411,151.85x = 616,727.78 × 234,004.85
  4. Step 4: Simplify right side
    411,151.85x = 144,317,290,479.71
  5. Step 5: Solve for x
    x = 144,317,290,479.71/411,151.85
  6. Step 6: Final answer
    x = 351,007.28

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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.