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Finding the Fourth Proportional to 502,364.38, 693,067.17 and 284,522.98

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Solution

The fourth proportional to 502,364.38, 693,067.17 and 284,522.98 is: 392,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,364.38 : 693,067.17 = 284,522.98 : x
  2. Step 2: Convert to fraction form
    502,364.38/693,067.17 = 284,522.98/x
  3. Step 3: Cross multiply
    502,364.38x = 693,067.17 × 284,522.98
  4. Step 4: Simplify right side
    502,364.38x = 197,193,536,548.57
  5. Step 5: Solve for x
    x = 197,193,536,548.57/502,364.38
  6. Step 6: Final answer
    x = 392,530.89

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1.5x scale

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.