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Finding the Fourth Proportional to 408,283.76, 563,440.73 and 224,510.68

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Solution

The fourth proportional to 408,283.76, 563,440.73 and 224,510.68 is: 309,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,283.76 : 563,440.73 = 224,510.68 : x
  2. Step 2: Convert to fraction form
    408,283.76/563,440.73 = 224,510.68/x
  3. Step 3: Cross multiply
    408,283.76x = 563,440.73 × 224,510.68
  4. Step 4: Simplify right side
    408,283.76x = 126,498,460,584.67
  5. Step 5: Solve for x
    x = 126,498,460,584.67/408,283.76
  6. Step 6: Final answer
    x = 309,829.77

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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.