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Finding the Fourth Proportional to 408,370.77, 563,552.12 and 227,078.81

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Solution

The fourth proportional to 408,370.77, 563,552.12 and 227,078.81 is: 313,369.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,370.77 : 563,552.12 = 227,078.81 : x
  2. Step 2: Convert to fraction form
    408,370.77/563,552.12 = 227,078.81/x
  3. Step 3: Cross multiply
    408,370.77x = 563,552.12 × 227,078.81
  4. Step 4: Simplify right side
    408,370.77x = 127,970,740,829.42
  5. Step 5: Solve for x
    x = 127,970,740,829.42/408,370.77
  6. Step 6: Final answer
    x = 313,369.00

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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.