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Finding the Fourth Proportional to 408,283.51, 563,440.39 and 224,510.43

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Solution

The fourth proportional to 408,283.51, 563,440.39 and 224,510.43 is: 309,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,283.51 : 563,440.39 = 224,510.43 : x
  2. Step 2: Convert to fraction form
    408,283.51/563,440.39 = 224,510.43/x
  3. Step 3: Cross multiply
    408,283.51x = 563,440.39 × 224,510.43
  4. Step 4: Simplify right side
    408,283.51x = 126,498,244,238.27
  5. Step 5: Solve for x
    x = 126,498,244,238.27/408,283.51
  6. Step 6: Final answer
    x = 309,829.43

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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.