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Finding the Fourth Proportional to 650,022.68, 974,886.39 and 312,891.17

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Solution

The fourth proportional to 650,022.68, 974,886.39 and 312,891.17 is: 469,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,022.68 : 974,886.39 = 312,891.17 : x
  2. Step 2: Convert to fraction form
    650,022.68/974,886.39 = 312,891.17/x
  3. Step 3: Cross multiply
    650,022.68x = 974,886.39 × 312,891.17
  4. Step 4: Simplify right side
    650,022.68x = 305,033,338,309.74
  5. Step 5: Solve for x
    x = 305,033,338,309.74/650,022.68
  6. Step 6: Final answer
    x = 469,265.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.