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Finding the Fourth Proportional to 287,731.80, 431,435.70 and 110,244.60

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Solution

The fourth proportional to 287,731.80, 431,435.70 and 110,244.60 is: 165,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,731.80 : 431,435.70 = 110,244.60 : x
  2. Step 2: Convert to fraction form
    287,731.80/431,435.70 = 110,244.60/x
  3. Step 3: Cross multiply
    287,731.80x = 431,435.70 × 110,244.60
  4. Step 4: Simplify right side
    287,731.80x = 47,563,456,172.22
  5. Step 5: Solve for x
    x = 47,563,456,172.22/287,731.80
  6. Step 6: Final answer
    x = 165,304.83

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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.