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Finding the Fourth Proportional to 431,384.60, 647,076.90 and 221,432.60

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Solution

The fourth proportional to 431,384.60, 647,076.90 and 221,432.60 is: 332,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,384.60 : 647,076.90 = 221,432.60 : x
  2. Step 2: Convert to fraction form
    431,384.60/647,076.90 = 221,432.60/x
  3. Step 3: Cross multiply
    431,384.60x = 647,076.90 × 221,432.60
  4. Step 4: Simplify right side
    431,384.60x = 143,283,920,366.94
  5. Step 5: Solve for x
    x = 143,283,920,366.94/431,384.60
  6. Step 6: Final answer
    x = 332,148.90

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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.