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Finding the Fourth Proportional to 412,642.67, 618,964.02 and 272,368.49

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Solution

The fourth proportional to 412,642.67, 618,964.02 and 272,368.49 is: 408,552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,642.67 : 618,964.02 = 272,368.49 : x
  2. Step 2: Convert to fraction form
    412,642.67/618,964.02 = 272,368.49/x
  3. Step 3: Cross multiply
    412,642.67x = 618,964.02 × 272,368.49
  4. Step 4: Simplify right side
    412,642.67x = 168,586,292,396.91
  5. Step 5: Solve for x
    x = 168,586,292,396.91/412,642.67
  6. Step 6: Final answer
    x = 408,552.74

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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.