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Finding the Fourth Proportional to 3,278,206.96, 4,914,505.71 and 1,257,900.71

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Solution

The fourth proportional to 3,278,206.96, 4,914,505.71 and 1,257,900.71 is: 1,885,774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278,206.96 : 4,914,505.71 = 1,257,900.71 : x
  2. Step 2: Convert to fraction form
    3,278,206.96/4,914,505.71 = 1,257,900.71/x
  3. Step 3: Cross multiply
    3,278,206.96x = 4,914,505.71 × 1,257,900.71
  4. Step 4: Simplify right side
    3,278,206.96x = 6,181,960,197,335.53
  5. Step 5: Solve for x
    x = 6,181,960,197,335.53/3,278,206.96
  6. Step 6: Final answer
    x = 1,885,774.84

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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.