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Finding the Fourth Proportional to 540,517.62, 745,923.40 and 314,163.12

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Solution

The fourth proportional to 540,517.62, 745,923.40 and 314,163.12 is: 433,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,517.62 : 745,923.40 = 314,163.12 : x
  2. Step 2: Convert to fraction form
    540,517.62/745,923.40 = 314,163.12/x
  3. Step 3: Cross multiply
    540,517.62x = 745,923.40 × 314,163.12
  4. Step 4: Simplify right side
    540,517.62x = 234,341,622,625.01
  5. Step 5: Solve for x
    x = 234,341,622,625.01/540,517.62
  6. Step 6: Final answer
    x = 433,550.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.