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Finding the Fourth Proportional to 527,524.65, 727,983.05 and 285,813.36

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Solution

The fourth proportional to 527,524.65, 727,983.05 and 285,813.36 is: 394,421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,524.65 : 727,983.05 = 285,813.36 : x
  2. Step 2: Convert to fraction form
    527,524.65/727,983.05 = 285,813.36/x
  3. Step 3: Cross multiply
    527,524.65x = 727,983.05 × 285,813.36
  4. Step 4: Simplify right side
    527,524.65x = 208,067,280,114.48
  5. Step 5: Solve for x
    x = 208,067,280,114.48/527,524.65
  6. Step 6: Final answer
    x = 394,421.91

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