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Finding the Fourth Proportional to 408,314.16, 563,499.08 and 227,066.64

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Solution

The fourth proportional to 408,314.16, 563,499.08 and 227,066.64 is: 313,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,314.16 : 563,499.08 = 227,066.64 : x
  2. Step 2: Convert to fraction form
    408,314.16/563,499.08 = 227,066.64/x
  3. Step 3: Cross multiply
    408,314.16x = 563,499.08 × 227,066.64
  4. Step 4: Simplify right side
    408,314.16x = 127,951,842,738.69
  5. Step 5: Solve for x
    x = 127,951,842,738.69/408,314.16
  6. Step 6: Final answer
    x = 313,366.17

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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.