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Finding the Fourth Proportional to 408,847.79, 564,204.20 and 227,559.77

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Solution

The fourth proportional to 408,847.79, 564,204.20 and 227,559.77 is: 314,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,847.79 : 564,204.20 = 227,559.77 : x
  2. Step 2: Convert to fraction form
    408,847.79/564,204.20 = 227,559.77/x
  3. Step 3: Cross multiply
    408,847.79x = 564,204.20 × 227,559.77
  4. Step 4: Simplify right side
    408,847.79x = 128,390,177,985.03
  5. Step 5: Solve for x
    x = 128,390,177,985.03/408,847.79
  6. Step 6: Final answer
    x = 314,029.28

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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.