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Finding the Fourth Proportional to 410,202.34, 566,078.10 and 228,912.34

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Solution

The fourth proportional to 410,202.34, 566,078.10 and 228,912.34 is: 315,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,202.34 : 566,078.10 = 228,912.34 : x
  2. Step 2: Convert to fraction form
    410,202.34/566,078.10 = 228,912.34/x
  3. Step 3: Cross multiply
    410,202.34x = 566,078.10 × 228,912.34
  4. Step 4: Simplify right side
    410,202.34x = 129,582,262,493.75
  5. Step 5: Solve for x
    x = 129,582,262,493.75/410,202.34
  6. Step 6: Final answer
    x = 315,898.40

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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.