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Finding the Fourth Proportional to 474,633.60, 712,214.40 and 194,131.20

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Solution

The fourth proportional to 474,633.60, 712,214.40 and 194,131.20 is: 291,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,633.60 : 712,214.40 = 194,131.20 : x
  2. Step 2: Convert to fraction form
    474,633.60/712,214.40 = 194,131.20/x
  3. Step 3: Cross multiply
    474,633.60x = 712,214.40 × 194,131.20
  4. Step 4: Simplify right side
    474,633.60x = 138,263,036,129.28
  5. Step 5: Solve for x
    x = 138,263,036,129.28/474,633.60
  6. Step 6: Final answer
    x = 291,304.78

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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.