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Finding the Fourth Proportional to 502,348.34, 753,626.20 and 165,409.14

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Solution

The fourth proportional to 502,348.34, 753,626.20 and 165,409.14 is: 248,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,348.34 : 753,626.20 = 165,409.14 : x
  2. Step 2: Convert to fraction form
    502,348.34/753,626.20 = 165,409.14/x
  3. Step 3: Cross multiply
    502,348.34x = 753,626.20 × 165,409.14
  4. Step 4: Simplify right side
    502,348.34x = 124,656,661,623.47
  5. Step 5: Solve for x
    x = 124,656,661,623.47/502,348.34
  6. Step 6: Final answer
    x = 248,147.85

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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.