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Finding the Fourth Proportional to 564,838.50, 779,282.25 and 361,008.72

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Solution

The fourth proportional to 564,838.50, 779,282.25 and 361,008.72 is: 498,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,838.50 : 779,282.25 = 361,008.72 : x
  2. Step 2: Convert to fraction form
    564,838.50/779,282.25 = 361,008.72/x
  3. Step 3: Cross multiply
    564,838.50x = 779,282.25 × 361,008.72
  4. Step 4: Simplify right side
    564,838.50x = 281,327,687,591.22
  5. Step 5: Solve for x
    x = 281,327,687,591.22/564,838.50
  6. Step 6: Final answer
    x = 498,067.48

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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.