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Finding the Fourth Proportional to 502,253.58, 753,442.32 and 165,207.72

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Solution

The fourth proportional to 502,253.58, 753,442.32 and 165,207.72 is: 247,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,253.58 : 753,442.32 = 165,207.72 : x
  2. Step 2: Convert to fraction form
    502,253.58/753,442.32 = 165,207.72/x
  3. Step 3: Cross multiply
    502,253.58x = 753,442.32 × 165,207.72
  4. Step 4: Simplify right side
    502,253.58x = 124,474,487,838.71
  5. Step 5: Solve for x
    x = 124,474,487,838.71/502,253.58
  6. Step 6: Final answer
    x = 247,831.96

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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.