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Finding the Fourth Proportional to 475,235.28, 712,854.38 and 120,249.23

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Solution

The fourth proportional to 475,235.28, 712,854.38 and 120,249.23 is: 180,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,235.28 : 712,854.38 = 120,249.23 : x
  2. Step 2: Convert to fraction form
    475,235.28/712,854.38 = 120,249.23/x
  3. Step 3: Cross multiply
    475,235.28x = 712,854.38 × 120,249.23
  4. Step 4: Simplify right side
    475,235.28x = 85,720,187,033.48
  5. Step 5: Solve for x
    x = 85,720,187,033.48/475,235.28
  6. Step 6: Final answer
    x = 180,374.21

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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.