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Finding the Fourth Proportional to 382,355.30, 573,970.35 and 224,672.60

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Solution

The fourth proportional to 382,355.30, 573,970.35 and 224,672.60 is: 337,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,355.30 : 573,970.35 = 224,672.60 : x
  2. Step 2: Convert to fraction form
    382,355.30/573,970.35 = 224,672.60/x
  3. Step 3: Cross multiply
    382,355.30x = 573,970.35 × 224,672.60
  4. Step 4: Simplify right side
    382,355.30x = 128,955,410,857.41
  5. Step 5: Solve for x
    x = 128,955,410,857.41/382,355.30
  6. Step 6: Final answer
    x = 337,265.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.