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Finding the Fourth Proportional to 474,801.60, 712,290.24 and 150,672

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Solution

The fourth proportional to 474,801.60, 712,290.24 and 150,672 is: 226,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,801.60 : 712,290.24 = 150,672 : x
  2. Step 2: Convert to fraction form
    474,801.60/712,290.24 = 150,672/x
  3. Step 3: Cross multiply
    474,801.60x = 712,290.24 × 150,672
  4. Step 4: Simplify right side
    474,801.60x = 107,322,195,041.28
  5. Step 5: Solve for x
    x = 107,322,195,041.28/474,801.60
  6. Step 6: Final answer
    x = 226,035.87

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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.