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Finding the Fourth Proportional to 502,016, 752,864.32 and 164,978.88

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Solution

The fourth proportional to 502,016, 752,864.32 and 164,978.88 is: 247,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,016 : 752,864.32 = 164,978.88 : x
  2. Step 2: Convert to fraction form
    502,016/752,864.32 = 164,978.88/x
  3. Step 3: Cross multiply
    502,016x = 752,864.32 × 164,978.88
  4. Step 4: Simplify right side
    502,016x = 124,206,712,305.56
  5. Step 5: Solve for x
    x = 124,206,712,305.56/502,016
  6. Step 6: Final answer
    x = 247,415.84

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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.