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Finding the Fourth Proportional to 431,200.80, 646,801.20 and 164,824.20

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Solution

The fourth proportional to 431,200.80, 646,801.20 and 164,824.20 is: 247,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,200.80 : 646,801.20 = 164,824.20 : x
  2. Step 2: Convert to fraction form
    431,200.80/646,801.20 = 164,824.20/x
  3. Step 3: Cross multiply
    431,200.80x = 646,801.20 × 164,824.20
  4. Step 4: Simplify right side
    431,200.80x = 106,608,490,349.04
  5. Step 5: Solve for x
    x = 106,608,490,349.04/431,200.80
  6. Step 6: Final answer
    x = 247,236.30

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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.