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Finding the Fourth Proportional to 408,616.35, 563,835.03 and 227,304.93

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Solution

The fourth proportional to 408,616.35, 563,835.03 and 227,304.93 is: 313,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,616.35 : 563,835.03 = 227,304.93 : x
  2. Step 2: Convert to fraction form
    408,616.35/563,835.03 = 227,304.93/x
  3. Step 3: Cross multiply
    408,616.35x = 563,835.03 × 227,304.93
  4. Step 4: Simplify right side
    408,616.35x = 128,162,483,287.69
  5. Step 5: Solve for x
    x = 128,162,483,287.69/408,616.35
  6. Step 6: Final answer
    x = 313,649.92

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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.