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Finding the Fourth Proportional to 527,717.48, 728,248.25 and 286,005.92

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Solution

The fourth proportional to 527,717.48, 728,248.25 and 286,005.92 is: 394,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,717.48 : 728,248.25 = 286,005.92 : x
  2. Step 2: Convert to fraction form
    527,717.48/728,248.25 = 286,005.92/x
  3. Step 3: Cross multiply
    527,717.48x = 728,248.25 × 286,005.92
  4. Step 4: Simplify right side
    527,717.48x = 208,283,307,803.41
  5. Step 5: Solve for x
    x = 208,283,307,803.41/527,717.48
  6. Step 6: Final answer
    x = 394,687.15

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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.