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Finding the Fourth Proportional to 543,500.16, 814,508.94 and 206,360.28

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Solution

The fourth proportional to 543,500.16, 814,508.94 and 206,360.28 is: 309,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,500.16 : 814,508.94 = 206,360.28 : x
  2. Step 2: Convert to fraction form
    543,500.16/814,508.94 = 206,360.28/x
  3. Step 3: Cross multiply
    543,500.16x = 814,508.94 × 206,360.28
  4. Step 4: Simplify right side
    543,500.16x = 168,082,292,920.90
  5. Step 5: Solve for x
    x = 168,082,292,920.90/543,500.16
  6. Step 6: Final answer
    x = 309,258.96

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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.