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Finding the Fourth Proportional to 462,755.16, 694,188.90 and 130,331.16

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Solution

The fourth proportional to 462,755.16, 694,188.90 and 130,331.16 is: 195,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,755.16 : 694,188.90 = 130,331.16 : x
  2. Step 2: Convert to fraction form
    462,755.16/694,188.90 = 130,331.16/x
  3. Step 3: Cross multiply
    462,755.16x = 694,188.90 × 130,331.16
  4. Step 4: Simplify right side
    462,755.16x = 90,474,444,596.12
  5. Step 5: Solve for x
    x = 90,474,444,596.12/462,755.16
  6. Step 6: Final answer
    x = 195,512.56

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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.