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Finding the Fourth Proportional to 502,755.46, 753,972.91 and 165,733.30

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Solution

The fourth proportional to 502,755.46, 753,972.91 and 165,733.30 is: 248,547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,755.46 : 753,972.91 = 165,733.30 : x
  2. Step 2: Convert to fraction form
    502,755.46/753,972.91 = 165,733.30/x
  3. Step 3: Cross multiply
    502,755.46x = 753,972.91 × 165,733.30
  4. Step 4: Simplify right side
    502,755.46x = 124,958,418,484.90
  5. Step 5: Solve for x
    x = 124,958,418,484.90/502,755.46
  6. Step 6: Final answer
    x = 248,547.11

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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.