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Finding the Fourth Proportional to 431,410.80, 647,116.20 and 305,439.60

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Solution

The fourth proportional to 431,410.80, 647,116.20 and 305,439.60 is: 458,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,410.80 : 647,116.20 = 305,439.60 : x
  2. Step 2: Convert to fraction form
    431,410.80/647,116.20 = 305,439.60/x
  3. Step 3: Cross multiply
    431,410.80x = 647,116.20 × 305,439.60
  4. Step 4: Simplify right side
    431,410.80x = 197,654,913,281.52
  5. Step 5: Solve for x
    x = 197,654,913,281.52/431,410.80
  6. Step 6: Final answer
    x = 458,159.40

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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.