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Finding the Fourth Proportional to 462,944.16, 694,440 and 130,546.08

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Solution

The fourth proportional to 462,944.16, 694,440 and 130,546.08 is: 195,825.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,944.16 : 694,440 = 130,546.08 : x
  2. Step 2: Convert to fraction form
    462,944.16/694,440 = 130,546.08/x
  3. Step 3: Cross multiply
    462,944.16x = 694,440 × 130,546.08
  4. Step 4: Simplify right side
    462,944.16x = 90,656,419,795.20
  5. Step 5: Solve for x
    x = 90,656,419,795.20/462,944.16
  6. Step 6: Final answer
    x = 195,825.82

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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.