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Finding the Fourth Proportional to 382,115.30, 573,610.35 and 224,432.60

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Solution

The fourth proportional to 382,115.30, 573,610.35 and 224,432.60 is: 336,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,115.30 : 573,610.35 = 224,432.60 : x
  2. Step 2: Convert to fraction form
    382,115.30/573,610.35 = 224,432.60/x
  3. Step 3: Cross multiply
    382,115.30x = 573,610.35 × 224,432.60
  4. Step 4: Simplify right side
    382,115.30x = 128,736,862,237.41
  5. Step 5: Solve for x
    x = 128,736,862,237.41/382,115.30
  6. Step 6: Final answer
    x = 336,905.80

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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.