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Finding the Fourth Proportional to 382,327.80, 572,703.30 and 224,076.60

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Solution

The fourth proportional to 382,327.80, 572,703.30 and 224,076.60 is: 335,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,327.80 : 572,703.30 = 224,076.60 : x
  2. Step 2: Convert to fraction form
    382,327.80/572,703.30 = 224,076.60/x
  3. Step 3: Cross multiply
    382,327.80x = 572,703.30 × 224,076.60
  4. Step 4: Simplify right side
    382,327.80x = 128,329,408,272.78
  5. Step 5: Solve for x
    x = 128,329,408,272.78/382,327.80
  6. Step 6: Final answer
    x = 335,652.83

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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.