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Finding the Fourth Proportional to 502,541.84, 753,517.56 and 203,031.92

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Solution

The fourth proportional to 502,541.84, 753,517.56 and 203,031.92 is: 304,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,541.84 : 753,517.56 = 203,031.92 : x
  2. Step 2: Convert to fraction form
    502,541.84/753,517.56 = 203,031.92/x
  3. Step 3: Cross multiply
    502,541.84x = 753,517.56 × 203,031.92
  4. Step 4: Simplify right side
    502,541.84x = 152,988,116,960.52
  5. Step 5: Solve for x
    x = 152,988,116,960.52/502,541.84
  6. Step 6: Final answer
    x = 304,428.62

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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.