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Finding the Fourth Proportional to 498,216.72, 746,758.72 and 438,128

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Solution

The fourth proportional to 498,216.72, 746,758.72 and 438,128 is: 656,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,216.72 : 746,758.72 = 438,128 : x
  2. Step 2: Convert to fraction form
    498,216.72/746,758.72 = 438,128/x
  3. Step 3: Cross multiply
    498,216.72x = 746,758.72 × 438,128
  4. Step 4: Simplify right side
    498,216.72x = 327,175,904,476.16
  5. Step 5: Solve for x
    x = 327,175,904,476.16/498,216.72
  6. Step 6: Final answer
    x = 656,693.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.