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Finding the Fourth Proportional to 502,148.94, 692,796.96 and 284,327.83

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Solution

The fourth proportional to 502,148.94, 692,796.96 and 284,327.83 is: 392,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,148.94 : 692,796.96 = 284,327.83 : x
  2. Step 2: Convert to fraction form
    502,148.94/692,796.96 = 284,327.83/x
  3. Step 3: Cross multiply
    502,148.94x = 692,796.96 × 284,327.83
  4. Step 4: Simplify right side
    502,148.94x = 196,981,456,267.40
  5. Step 5: Solve for x
    x = 196,981,456,267.40/502,148.94
  6. Step 6: Final answer
    x = 392,276.95

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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.