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Finding the Fourth Proportional to 275,710.30, 413,565.45 and 135,742.30

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Solution

The fourth proportional to 275,710.30, 413,565.45 and 135,742.30 is: 203,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,710.30 : 413,565.45 = 135,742.30 : x
  2. Step 2: Convert to fraction form
    275,710.30/413,565.45 = 135,742.30/x
  3. Step 3: Cross multiply
    275,710.30x = 413,565.45 × 135,742.30
  4. Step 4: Simplify right side
    275,710.30x = 56,138,325,383.54
  5. Step 5: Solve for x
    x = 56,138,325,383.54/275,710.30
  6. Step 6: Final answer
    x = 203,613.45

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1.5x scale

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.