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Finding the Fourth Proportional to 431,999.60, 647,999.40 and 132,477.80

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Solution

The fourth proportional to 431,999.60, 647,999.40 and 132,477.80 is: 198,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,999.60 : 647,999.40 = 132,477.80 : x
  2. Step 2: Convert to fraction form
    431,999.60/647,999.40 = 132,477.80/x
  3. Step 3: Cross multiply
    431,999.60x = 647,999.40 × 132,477.80
  4. Step 4: Simplify right side
    431,999.60x = 85,845,534,913.32
  5. Step 5: Solve for x
    x = 85,845,534,913.32/431,999.60
  6. Step 6: Final answer
    x = 198,716.70

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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.