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Finding the Fourth Proportional to 474,816.80, 712,225.20 and 159,197.60

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Solution

The fourth proportional to 474,816.80, 712,225.20 and 159,197.60 is: 238,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,816.80 : 712,225.20 = 159,197.60 : x
  2. Step 2: Convert to fraction form
    474,816.80/712,225.20 = 159,197.60/x
  3. Step 3: Cross multiply
    474,816.80x = 712,225.20 × 159,197.60
  4. Step 4: Simplify right side
    474,816.80x = 113,384,542,499.52
  5. Step 5: Solve for x
    x = 113,384,542,499.52/474,816.80
  6. Step 6: Final answer
    x = 238,796.40

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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.