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Finding the Fourth Proportional to 667,442, 921,136.05 and 381,005.18

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Solution

The fourth proportional to 667,442, 921,136.05 and 381,005.18 is: 525,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,442 : 921,136.05 = 381,005.18 : x
  2. Step 2: Convert to fraction form
    667,442/921,136.05 = 381,005.18/x
  3. Step 3: Cross multiply
    667,442x = 921,136.05 × 381,005.18
  4. Step 4: Simplify right side
    667,442x = 350,957,606,534.74
  5. Step 5: Solve for x
    x = 350,957,606,534.74/667,442
  6. Step 6: Final answer
    x = 525,824.88

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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.