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Finding the Fourth Proportional to 316,693.40, 475,046.17 and 103,461.91

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Solution

The fourth proportional to 316,693.40, 475,046.17 and 103,461.91 is: 155,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,693.40 : 475,046.17 = 103,461.91 : x
  2. Step 2: Convert to fraction form
    316,693.40/475,046.17 = 103,461.91/x
  3. Step 3: Cross multiply
    316,693.40x = 475,046.17 × 103,461.91
  4. Step 4: Simplify right side
    316,693.40x = 49,149,182,640.11
  5. Step 5: Solve for x
    x = 49,149,182,640.11/316,693.40
  6. Step 6: Final answer
    x = 155,194.85

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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.