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Finding the Fourth Proportional to 541,097.88, 746,737.08 and 299,376.54

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Solution

The fourth proportional to 541,097.88, 746,737.08 and 299,376.54 is: 413,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,097.88 : 746,737.08 = 299,376.54 : x
  2. Step 2: Convert to fraction form
    541,097.88/746,737.08 = 299,376.54/x
  3. Step 3: Cross multiply
    541,097.88x = 746,737.08 × 299,376.54
  4. Step 4: Simplify right side
    541,097.88x = 223,555,563,300.10
  5. Step 5: Solve for x
    x = 223,555,563,300.10/541,097.88
  6. Step 6: Final answer
    x = 413,151.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.