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Finding the Fourth Proportional to 456,001.30, 629,195.17 and 286,158.88

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Solution

The fourth proportional to 456,001.30, 629,195.17 and 286,158.88 is: 394,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,001.30 : 629,195.17 = 286,158.88 : x
  2. Step 2: Convert to fraction form
    456,001.30/629,195.17 = 286,158.88/x
  3. Step 3: Cross multiply
    456,001.30x = 629,195.17 × 286,158.88
  4. Step 4: Simplify right side
    456,001.30x = 180,049,785,148.61
  5. Step 5: Solve for x
    x = 180,049,785,148.61/456,001.30
  6. Step 6: Final answer
    x = 394,844.89

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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.