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Finding the Fourth Proportional to 540,213.13, 810,081 and 287,433.70

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Solution

The fourth proportional to 540,213.13, 810,081 and 287,433.70 is: 431,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,213.13 : 810,081 = 287,433.70 : x
  2. Step 2: Convert to fraction form
    540,213.13/810,081 = 287,433.70/x
  3. Step 3: Cross multiply
    540,213.13x = 810,081 × 287,433.70
  4. Step 4: Simplify right side
    540,213.13x = 232,844,577,104.50
  5. Step 5: Solve for x
    x = 232,844,577,104.50/540,213.13
  6. Step 6: Final answer
    x = 431,023.54

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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.