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Finding the Fourth Proportional to 434,171.20, 651,256.80 and 394,772.80

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Solution

The fourth proportional to 434,171.20, 651,256.80 and 394,772.80 is: 592,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,171.20 : 651,256.80 = 394,772.80 : x
  2. Step 2: Convert to fraction form
    434,171.20/651,256.80 = 394,772.80/x
  3. Step 3: Cross multiply
    434,171.20x = 651,256.80 × 394,772.80
  4. Step 4: Simplify right side
    434,171.20x = 257,098,470,455.04
  5. Step 5: Solve for x
    x = 257,098,470,455.04/434,171.20
  6. Step 6: Final answer
    x = 592,159.20

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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.