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Finding the Fourth Proportional to 559,217.31, 771,692.38 and 317,468.15

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Solution

The fourth proportional to 559,217.31, 771,692.38 and 317,468.15 is: 438,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,217.31 : 771,692.38 = 317,468.15 : x
  2. Step 2: Convert to fraction form
    559,217.31/771,692.38 = 317,468.15/x
  3. Step 3: Cross multiply
    559,217.31x = 771,692.38 × 317,468.15
  4. Step 4: Simplify right side
    559,217.31x = 244,987,749,524.80
  5. Step 5: Solve for x
    x = 244,987,749,524.80/559,217.31
  6. Step 6: Final answer
    x = 438,090.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.