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Finding the Fourth Proportional to 567,072.40, 782,213.88 and 337,475.76

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Solution

The fourth proportional to 567,072.40, 782,213.88 and 337,475.76 is: 465,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,072.40 : 782,213.88 = 337,475.76 : x
  2. Step 2: Convert to fraction form
    567,072.40/782,213.88 = 337,475.76/x
  3. Step 3: Cross multiply
    567,072.40x = 782,213.88 × 337,475.76
  4. Step 4: Simplify right side
    567,072.40x = 263,978,223,635.55
  5. Step 5: Solve for x
    x = 263,978,223,635.55/567,072.40
  6. Step 6: Final answer
    x = 465,510.62

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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.