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Finding the Fourth Proportional to 501,838.74, 752,838.91 and 164,800.17

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Solution

The fourth proportional to 501,838.74, 752,838.91 and 164,800.17 is: 247,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,838.74 : 752,838.91 = 164,800.17 : x
  2. Step 2: Convert to fraction form
    501,838.74/752,838.91 = 164,800.17/x
  3. Step 3: Cross multiply
    501,838.74x = 752,838.91 × 164,800.17
  4. Step 4: Simplify right side
    501,838.74x = 124,067,979,938.61
  5. Step 5: Solve for x
    x = 124,067,979,938.61/501,838.74
  6. Step 6: Final answer
    x = 247,226.79

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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.