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Finding the Fourth Proportional to 408,404.40, 563,591.76 and 227,109.36

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Solution

The fourth proportional to 408,404.40, 563,591.76 and 227,109.36 is: 313,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,404.40 : 563,591.76 = 227,109.36 : x
  2. Step 2: Convert to fraction form
    408,404.40/563,591.76 = 227,109.36/x
  3. Step 3: Cross multiply
    408,404.40x = 563,591.76 × 227,109.36
  4. Step 4: Simplify right side
    408,404.40x = 127,996,963,914.87
  5. Step 5: Solve for x
    x = 127,996,963,914.87/408,404.40
  6. Step 6: Final answer
    x = 313,407.41

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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.