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Finding the Fourth Proportional to 474,634.60, 712,215.90 and 194,132.20

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Solution

The fourth proportional to 474,634.60, 712,215.90 and 194,132.20 is: 291,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,634.60 : 712,215.90 = 194,132.20 : x
  2. Step 2: Convert to fraction form
    474,634.60/712,215.90 = 194,132.20/x
  3. Step 3: Cross multiply
    474,634.60x = 712,215.90 × 194,132.20
  4. Step 4: Simplify right side
    474,634.60x = 138,264,039,541.98
  5. Step 5: Solve for x
    x = 138,264,039,541.98/474,634.60
  6. Step 6: Final answer
    x = 291,306.28

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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.