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Finding the Fourth Proportional to 418,732.80, 627,888.96 and 193,899.84

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Solution

The fourth proportional to 418,732.80, 627,888.96 and 193,899.84 is: 290,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,732.80 : 627,888.96 = 193,899.84 : x
  2. Step 2: Convert to fraction form
    418,732.80/627,888.96 = 193,899.84/x
  3. Step 3: Cross multiply
    418,732.80x = 627,888.96 × 193,899.84
  4. Step 4: Simplify right side
    418,732.80x = 121,747,568,881.77
  5. Step 5: Solve for x
    x = 121,747,568,881.77/418,732.80
  6. Step 6: Final answer
    x = 290,752.41

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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.