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Finding the Fourth Proportional to 287,651.10, 431,995.05 and 278,319.90

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Solution

The fourth proportional to 287,651.10, 431,995.05 and 278,319.90 is: 417,981.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,651.10 : 431,995.05 = 278,319.90 : x
  2. Step 2: Convert to fraction form
    287,651.10/431,995.05 = 278,319.90/x
  3. Step 3: Cross multiply
    287,651.10x = 431,995.05 × 278,319.90
  4. Step 4: Simplify right side
    287,651.10x = 120,232,819,116.50
  5. Step 5: Solve for x
    x = 120,232,819,116.50/287,651.10
  6. Step 6: Final answer
    x = 417,981.43

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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.