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Finding the Fourth Proportional to 382,320.21, 572,692.86 and 224,167.32

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Solution

The fourth proportional to 382,320.21, 572,692.86 and 224,167.32 is: 335,789.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,320.21 : 572,692.86 = 224,167.32 : x
  2. Step 2: Convert to fraction form
    382,320.21/572,692.86 = 224,167.32/x
  3. Step 3: Cross multiply
    382,320.21x = 572,692.86 × 224,167.32
  4. Step 4: Simplify right side
    382,320.21x = 128,379,023,609.34
  5. Step 5: Solve for x
    x = 128,379,023,609.34/382,320.21
  6. Step 6: Final answer
    x = 335,789.27

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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.