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Finding the Fourth Proportional to 498,404, 746,384.52 and 450,477.92

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Solution

The fourth proportional to 498,404, 746,384.52 and 450,477.92 is: 674,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,404 : 746,384.52 = 450,477.92 : x
  2. Step 2: Convert to fraction form
    498,404/746,384.52 = 450,477.92/x
  3. Step 3: Cross multiply
    498,404x = 746,384.52 × 450,477.92
  4. Step 4: Simplify right side
    498,404x = 336,229,746,089.80
  5. Step 5: Solve for x
    x = 336,229,746,089.80/498,404
  6. Step 6: Final answer
    x = 674,612.86

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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.