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Finding the Fourth Proportional to 541,243.40, 746,897.46 and 299,536.16

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Solution

The fourth proportional to 541,243.40, 746,897.46 and 299,536.16 is: 413,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,243.40 : 746,897.46 = 299,536.16 : x
  2. Step 2: Convert to fraction form
    541,243.40/746,897.46 = 299,536.16/x
  3. Step 3: Cross multiply
    541,243.40x = 746,897.46 × 299,536.16
  4. Step 4: Simplify right side
    541,243.40x = 223,722,797,082.15
  5. Step 5: Solve for x
    x = 223,722,797,082.15/541,243.40
  6. Step 6: Final answer
    x = 413,349.70

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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.