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Finding the Fourth Proportional to 441,963.20, 662,944.80 and 146,475.20

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Solution

The fourth proportional to 441,963.20, 662,944.80 and 146,475.20 is: 219,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,963.20 : 662,944.80 = 146,475.20 : x
  2. Step 2: Convert to fraction form
    441,963.20/662,944.80 = 146,475.20/x
  3. Step 3: Cross multiply
    441,963.20x = 662,944.80 × 146,475.20
  4. Step 4: Simplify right side
    441,963.20x = 97,104,972,168.96
  5. Step 5: Solve for x
    x = 97,104,972,168.96/441,963.20
  6. Step 6: Final answer
    x = 219,712.80

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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.