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Finding the Fourth Proportional to 431,229.60, 646,844.40 and 194,685.60

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Solution

The fourth proportional to 431,229.60, 646,844.40 and 194,685.60 is: 292,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,229.60 : 646,844.40 = 194,685.60 : x
  2. Step 2: Convert to fraction form
    431,229.60/646,844.40 = 194,685.60/x
  3. Step 3: Cross multiply
    431,229.60x = 646,844.40 × 194,685.60
  4. Step 4: Simplify right side
    431,229.60x = 125,931,290,120.64
  5. Step 5: Solve for x
    x = 125,931,290,120.64/431,229.60
  6. Step 6: Final answer
    x = 292,028.40

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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.