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Finding the Fourth Proportional to 490,726.38, 677,205.25 and 275,864.57

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Solution

The fourth proportional to 490,726.38, 677,205.25 and 275,864.57 is: 380,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,726.38 : 677,205.25 = 275,864.57 : x
  2. Step 2: Convert to fraction form
    490,726.38/677,205.25 = 275,864.57/x
  3. Step 3: Cross multiply
    490,726.38x = 677,205.25 × 275,864.57
  4. Step 4: Simplify right side
    490,726.38x = 186,816,931,017.31
  5. Step 5: Solve for x
    x = 186,816,931,017.31/490,726.38
  6. Step 6: Final answer
    x = 380,694.70

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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.