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Finding the Fourth Proportional to 502,461.05, 693,318.20 and 298,506.73

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Solution

The fourth proportional to 502,461.05, 693,318.20 and 298,506.73 is: 411,892.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,461.05 : 693,318.20 = 298,506.73 : x
  2. Step 2: Convert to fraction form
    502,461.05/693,318.20 = 298,506.73/x
  3. Step 3: Cross multiply
    502,461.05x = 693,318.20 × 298,506.73
  4. Step 4: Simplify right side
    502,461.05x = 206,960,148,200.38
  5. Step 5: Solve for x
    x = 206,960,148,200.38/502,461.05
  6. Step 6: Final answer
    x = 411,892.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.