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Finding the Fourth Proportional to 527,521.80, 727,257.06 and 333,833.16

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Solution

The fourth proportional to 527,521.80, 727,257.06 and 333,833.16 is: 460,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,521.80 : 727,257.06 = 333,833.16 : x
  2. Step 2: Convert to fraction form
    527,521.80/727,257.06 = 333,833.16/x
  3. Step 3: Cross multiply
    527,521.80x = 727,257.06 × 333,833.16
  4. Step 4: Simplify right side
    527,521.80x = 242,782,522,472.11
  5. Step 5: Solve for x
    x = 242,782,522,472.11/527,521.80
  6. Step 6: Final answer
    x = 460,232.21

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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.