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Finding the Fourth Proportional to 502,558.38, 753,948.72 and 165,585.42

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Solution

The fourth proportional to 502,558.38, 753,948.72 and 165,585.42 is: 248,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,558.38 : 753,948.72 = 165,585.42 : x
  2. Step 2: Convert to fraction form
    502,558.38/753,948.72 = 165,585.42/x
  3. Step 3: Cross multiply
    502,558.38x = 753,948.72 × 165,585.42
  4. Step 4: Simplify right side
    502,558.38x = 124,842,915,459.66
  5. Step 5: Solve for x
    x = 124,842,915,459.66/502,558.38
  6. Step 6: Final answer
    x = 248,414.75

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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.