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Finding the Fourth Proportional to 408,456.60, 563,685.66 and 227,181.64

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Solution

The fourth proportional to 408,456.60, 563,685.66 and 227,181.64 is: 313,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,456.60 : 563,685.66 = 227,181.64 : x
  2. Step 2: Convert to fraction form
    408,456.60/563,685.66 = 227,181.64/x
  3. Step 3: Cross multiply
    408,456.60x = 563,685.66 × 227,181.64
  4. Step 4: Simplify right side
    408,456.60x = 128,059,031,274.07
  5. Step 5: Solve for x
    x = 128,059,031,274.07/408,456.60
  6. Step 6: Final answer
    x = 313,519.31

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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.