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Finding the Fourth Proportional to 567,135.71, 782,401.38 and 337,564.26

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Solution

The fourth proportional to 567,135.71, 782,401.38 and 337,564.26 is: 465,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,135.71 : 782,401.38 = 337,564.26 : x
  2. Step 2: Convert to fraction form
    567,135.71/782,401.38 = 337,564.26/x
  3. Step 3: Cross multiply
    567,135.71x = 782,401.38 × 337,564.26
  4. Step 4: Simplify right side
    567,135.71x = 264,110,741,596.81
  5. Step 5: Solve for x
    x = 264,110,741,596.81/567,135.71
  6. Step 6: Final answer
    x = 465,692.32

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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.