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Finding the Fourth Proportional to 287,649.10, 431,992.05 and 278,317.90

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Solution

The fourth proportional to 287,649.10, 431,992.05 and 278,317.90 is: 417,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,649.10 : 431,992.05 = 278,317.90 : x
  2. Step 2: Convert to fraction form
    287,649.10/431,992.05 = 278,317.90/x
  3. Step 3: Cross multiply
    287,649.10x = 431,992.05 × 278,317.90
  4. Step 4: Simplify right side
    287,649.10x = 120,231,120,172.70
  5. Step 5: Solve for x
    x = 120,231,120,172.70/287,649.10
  6. Step 6: Final answer
    x = 417,978.43

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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.