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Finding the Fourth Proportional to 537,772.24, 742,043.46 and 311,374

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Solution

The fourth proportional to 537,772.24, 742,043.46 and 311,374 is: 429,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,772.24 : 742,043.46 = 311,374 : x
  2. Step 2: Convert to fraction form
    537,772.24/742,043.46 = 311,374/x
  3. Step 3: Cross multiply
    537,772.24x = 742,043.46 × 311,374
  4. Step 4: Simplify right side
    537,772.24x = 231,053,040,314.04
  5. Step 5: Solve for x
    x = 231,053,040,314.04/537,772.24
  6. Step 6: Final answer
    x = 429,648.51

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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.