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Finding the Fourth Proportional to 474,843.20, 712,264.80 and 142,419.20

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Solution

The fourth proportional to 474,843.20, 712,264.80 and 142,419.20 is: 213,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,843.20 : 712,264.80 = 142,419.20 : x
  2. Step 2: Convert to fraction form
    474,843.20/712,264.80 = 142,419.20/x
  3. Step 3: Cross multiply
    474,843.20x = 712,264.80 × 142,419.20
  4. Step 4: Simplify right side
    474,843.20x = 101,440,183,004.16
  5. Step 5: Solve for x
    x = 101,440,183,004.16/474,843.20
  6. Step 6: Final answer
    x = 213,628.80

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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.