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Finding the Fourth Proportional to 312,426.06, 468,542.16 and 112,720.48

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Solution

The fourth proportional to 312,426.06, 468,542.16 and 112,720.48 is: 169,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,426.06 : 468,542.16 = 112,720.48 : x
  2. Step 2: Convert to fraction form
    312,426.06/468,542.16 = 112,720.48/x
  3. Step 3: Cross multiply
    312,426.06x = 468,542.16 × 112,720.48
  4. Step 4: Simplify right side
    312,426.06x = 52,814,297,175.44
  5. Step 5: Solve for x
    x = 52,814,297,175.44/312,426.06
  6. Step 6: Final answer
    x = 169,045.75

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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.