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Finding the Fourth Proportional to 295,012.80, 407,154.24 and 180,267.84

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Solution

The fourth proportional to 295,012.80, 407,154.24 and 180,267.84 is: 248,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,012.80 : 407,154.24 = 180,267.84 : x
  2. Step 2: Convert to fraction form
    295,012.80/407,154.24 = 180,267.84/x
  3. Step 3: Cross multiply
    295,012.80x = 407,154.24 × 180,267.84
  4. Step 4: Simplify right side
    295,012.80x = 73,396,815,391.64
  5. Step 5: Solve for x
    x = 73,396,815,391.64/295,012.80
  6. Step 6: Final answer
    x = 248,791.97

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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.