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Finding the Fourth Proportional to 502,002.77, 753,097.10 and 299,951.30

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Solution

The fourth proportional to 502,002.77, 753,097.10 and 299,951.30 is: 449,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,002.77 : 753,097.10 = 299,951.30 : x
  2. Step 2: Convert to fraction form
    502,002.77/753,097.10 = 299,951.30/x
  3. Step 3: Cross multiply
    502,002.77x = 753,097.10 × 299,951.30
  4. Step 4: Simplify right side
    502,002.77x = 225,892,454,554.22
  5. Step 5: Solve for x
    x = 225,892,454,554.22/502,002.77
  6. Step 6: Final answer
    x = 449,982.49

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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.