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Finding the Fourth Proportional to 382,347.30, 573,958.35 and 224,664.60

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Solution

The fourth proportional to 382,347.30, 573,958.35 and 224,664.60 is: 337,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,347.30 : 573,958.35 = 224,664.60 : x
  2. Step 2: Convert to fraction form
    382,347.30/573,958.35 = 224,664.60/x
  3. Step 3: Cross multiply
    382,347.30x = 573,958.35 × 224,664.60
  4. Step 4: Simplify right side
    382,347.30x = 128,948,123,119.41
  5. Step 5: Solve for x
    x = 128,948,123,119.41/382,347.30
  6. Step 6: Final answer
    x = 337,253.91

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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.