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Finding the Fourth Proportional to 502,533.80, 753,638.49 and 165,494.30

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Solution

The fourth proportional to 502,533.80, 753,638.49 and 165,494.30 is: 248,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,533.80 : 753,638.49 = 165,494.30 : x
  2. Step 2: Convert to fraction form
    502,533.80/753,638.49 = 165,494.30/x
  3. Step 3: Cross multiply
    502,533.80x = 753,638.49 × 165,494.30
  4. Step 4: Simplify right side
    502,533.80x = 124,722,874,355.61
  5. Step 5: Solve for x
    x = 124,722,874,355.61/502,533.80
  6. Step 6: Final answer
    x = 248,188.03

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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.