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Finding the Fourth Proportional to 233,428.02, 321,452.71 and 202,787.13

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Solution

The fourth proportional to 233,428.02, 321,452.71 and 202,787.13 is: 279,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,428.02 : 321,452.71 = 202,787.13 : x
  2. Step 2: Convert to fraction form
    233,428.02/321,452.71 = 202,787.13/x
  3. Step 3: Cross multiply
    233,428.02x = 321,452.71 × 202,787.13
  4. Step 4: Simplify right side
    233,428.02x = 65,186,472,491.62
  5. Step 5: Solve for x
    x = 65,186,472,491.62/233,428.02
  6. Step 6: Final answer
    x = 279,257.27

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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.