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Finding the Fourth Proportional to 474,553.20, 712,002.60 and 194,271.60

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Solution

The fourth proportional to 474,553.20, 712,002.60 and 194,271.60 is: 291,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,553.20 : 712,002.60 = 194,271.60 : x
  2. Step 2: Convert to fraction form
    474,553.20/712,002.60 = 194,271.60/x
  3. Step 3: Cross multiply
    474,553.20x = 712,002.60 × 194,271.60
  4. Step 4: Simplify right side
    474,553.20x = 138,321,884,306.16
  5. Step 5: Solve for x
    x = 138,321,884,306.16/474,553.20
  6. Step 6: Final answer
    x = 291,478.14

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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.