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Finding the Fourth Proportional to 502,562.16, 753,954.36 and 165,589.20

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Solution

The fourth proportional to 502,562.16, 753,954.36 and 165,589.20 is: 248,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,562.16 : 753,954.36 = 165,589.20 : x
  2. Step 2: Convert to fraction form
    502,562.16/753,954.36 = 165,589.20/x
  3. Step 3: Cross multiply
    502,562.16x = 753,954.36 × 165,589.20
  4. Step 4: Simplify right side
    502,562.16x = 124,846,699,308.91
  5. Step 5: Solve for x
    x = 124,846,699,308.91/502,562.16
  6. Step 6: Final answer
    x = 248,420.41

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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.