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Finding the Fourth Proportional to 502,751.27, 753,966.64 and 165,729.10

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Solution

The fourth proportional to 502,751.27, 753,966.64 and 165,729.10 is: 248,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,751.27 : 753,966.64 = 165,729.10 : x
  2. Step 2: Convert to fraction form
    502,751.27/753,966.64 = 165,729.10/x
  3. Step 3: Cross multiply
    502,751.27x = 753,966.64 × 165,729.10
  4. Step 4: Simplify right side
    502,751.27x = 124,954,212,677.22
  5. Step 5: Solve for x
    x = 124,954,212,677.22/502,751.27
  6. Step 6: Final answer
    x = 248,540.82

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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.