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Finding the Fourth Proportional to 750,517.64, 1,035,701.89 and 406,350.82

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Solution

The fourth proportional to 750,517.64, 1,035,701.89 and 406,350.82 is: 560,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,517.64 : 1,035,701.89 = 406,350.82 : x
  2. Step 2: Convert to fraction form
    750,517.64/1,035,701.89 = 406,350.82/x
  3. Step 3: Cross multiply
    750,517.64x = 1,035,701.89 × 406,350.82
  4. Step 4: Simplify right side
    750,517.64x = 420,858,308,671.92
  5. Step 5: Solve for x
    x = 420,858,308,671.92/750,517.64
  6. Step 6: Final answer
    x = 560,757.38

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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.