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Finding the Fourth Proportional to 502,920.38, 694,009.01 and 285,143.72

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Solution

The fourth proportional to 502,920.38, 694,009.01 and 285,143.72 is: 393,486.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,920.38 : 694,009.01 = 285,143.72 : x
  2. Step 2: Convert to fraction form
    502,920.38/694,009.01 = 285,143.72/x
  3. Step 3: Cross multiply
    502,920.38x = 694,009.01 × 285,143.72
  4. Step 4: Simplify right side
    502,920.38x = 197,892,308,067.73
  5. Step 5: Solve for x
    x = 197,892,308,067.73/502,920.38
  6. Step 6: Final answer
    x = 393,486.35

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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.