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Finding the Fourth Proportional to 502,078.14, 752,887.50 and 299,766.06

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Solution

The fourth proportional to 502,078.14, 752,887.50 and 299,766.06 is: 449,511.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,078.14 : 752,887.50 = 299,766.06 : x
  2. Step 2: Convert to fraction form
    502,078.14/752,887.50 = 299,766.06/x
  3. Step 3: Cross multiply
    502,078.14x = 752,887.50 × 299,766.06
  4. Step 4: Simplify right side
    502,078.14x = 225,690,119,498.25
  5. Step 5: Solve for x
    x = 225,690,119,498.25/502,078.14
  6. Step 6: Final answer
    x = 449,511.94

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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.