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Finding the Fourth Proportional to 748,550.68, 1,033,003.14 and 409,019

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Solution

The fourth proportional to 748,550.68, 1,033,003.14 and 409,019 is: 564,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,550.68 : 1,033,003.14 = 409,019 : x
  2. Step 2: Convert to fraction form
    748,550.68/1,033,003.14 = 409,019/x
  3. Step 3: Cross multiply
    748,550.68x = 1,033,003.14 × 409,019
  4. Step 4: Simplify right side
    748,550.68x = 422,517,911,319.66
  5. Step 5: Solve for x
    x = 422,517,911,319.66/748,550.68
  6. Step 6: Final answer
    x = 564,447.97

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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.