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Finding the Fourth Proportional to 412,098.48, 568,689.12 and 230,808.72

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Solution

The fourth proportional to 412,098.48, 568,689.12 and 230,808.72 is: 318,512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,098.48 : 568,689.12 = 230,808.72 : x
  2. Step 2: Convert to fraction form
    412,098.48/568,689.12 = 230,808.72/x
  3. Step 3: Cross multiply
    412,098.48x = 568,689.12 × 230,808.72
  4. Step 4: Simplify right side
    412,098.48x = 131,258,407,865.13
  5. Step 5: Solve for x
    x = 131,258,407,865.13/412,098.48
  6. Step 6: Final answer
    x = 318,512.23

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1.5x scale

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.