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Finding the Fourth Proportional to 541,117.64, 746,724.30 and 299,400.68

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Solution

The fourth proportional to 541,117.64, 746,724.30 and 299,400.68 is: 413,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,117.64 : 746,724.30 = 299,400.68 : x
  2. Step 2: Convert to fraction form
    541,117.64/746,724.30 = 299,400.68/x
  3. Step 3: Cross multiply
    541,117.64x = 746,724.30 × 299,400.68
  4. Step 4: Simplify right side
    541,117.64x = 223,569,763,192.52
  5. Step 5: Solve for x
    x = 223,569,763,192.52/541,117.64
  6. Step 6: Final answer
    x = 413,162.96

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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.