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Finding the Fourth Proportional to 502,510.73, 753,604.02 and 165,471.26

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Solution

The fourth proportional to 502,510.73, 753,604.02 and 165,471.26 is: 248,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,510.73 : 753,604.02 = 165,471.26 : x
  2. Step 2: Convert to fraction form
    502,510.73/753,604.02 = 165,471.26/x
  3. Step 3: Cross multiply
    502,510.73x = 753,604.02 × 165,471.26
  4. Step 4: Simplify right side
    502,510.73x = 124,699,802,962.45
  5. Step 5: Solve for x
    x = 124,699,802,962.45/502,510.73
  6. Step 6: Final answer
    x = 248,153.52

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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.