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Finding the Fourth Proportional to 408,277.92, 563,442.28 and 227,008.46

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Solution

The fourth proportional to 408,277.92, 563,442.28 and 227,008.46 is: 313,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,277.92 : 563,442.28 = 227,008.46 : x
  2. Step 2: Convert to fraction form
    408,277.92/563,442.28 = 227,008.46/x
  3. Step 3: Cross multiply
    408,277.92x = 563,442.28 × 227,008.46
  4. Step 4: Simplify right side
    408,277.92x = 127,906,164,281.69
  5. Step 5: Solve for x
    x = 127,906,164,281.69/408,277.92
  6. Step 6: Final answer
    x = 313,282.10

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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.