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Finding the Fourth Proportional to 527,237.64, 727,584.28 and 285,514.68

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Solution

The fourth proportional to 527,237.64, 727,584.28 and 285,514.68 is: 394,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,237.64 : 727,584.28 = 285,514.68 : x
  2. Step 2: Convert to fraction form
    527,237.64/727,584.28 = 285,514.68/x
  3. Step 3: Cross multiply
    527,237.64x = 727,584.28 × 285,514.68
  4. Step 4: Simplify right side
    527,237.64x = 207,735,992,877.23
  5. Step 5: Solve for x
    x = 207,735,992,877.23/527,237.64
  6. Step 6: Final answer
    x = 394,008.27

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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.