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Finding the Fourth Proportional to 287,825.80, 431,349.90 and 192,785.80

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Solution

The fourth proportional to 287,825.80, 431,349.90 and 192,785.80 is: 288,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,825.80 : 431,349.90 = 192,785.80 : x
  2. Step 2: Convert to fraction form
    287,825.80/431,349.90 = 192,785.80/x
  3. Step 3: Cross multiply
    287,825.80x = 431,349.90 × 192,785.80
  4. Step 4: Simplify right side
    287,825.80x = 83,158,135,551.42
  5. Step 5: Solve for x
    x = 83,158,135,551.42/287,825.80
  6. Step 6: Final answer
    x = 288,918.28

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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.