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Finding the Fourth Proportional to 431,734.73, 647,543.75 and 116,210.57

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Solution

The fourth proportional to 431,734.73, 647,543.75 and 116,210.57 is: 174,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,734.73 : 647,543.75 = 116,210.57 : x
  2. Step 2: Convert to fraction form
    431,734.73/647,543.75 = 116,210.57/x
  3. Step 3: Cross multiply
    431,734.73x = 647,543.75 × 116,210.57
  4. Step 4: Simplify right side
    431,734.73x = 75,251,424,468.67
  5. Step 5: Solve for x
    x = 75,251,424,468.67/431,734.73
  6. Step 6: Final answer
    x = 174,300.14

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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.