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Finding the Fourth Proportional to 408,332.16, 563,523.84 and 227,084.58

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Solution

The fourth proportional to 408,332.16, 563,523.84 and 227,084.58 is: 313,390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,332.16 : 563,523.84 = 227,084.58 : x
  2. Step 2: Convert to fraction form
    408,332.16/563,523.84 = 227,084.58/x
  3. Step 3: Cross multiply
    408,332.16x = 563,523.84 × 227,084.58
  4. Step 4: Simplify right side
    408,332.16x = 127,967,574,526.39
  5. Step 5: Solve for x
    x = 127,967,574,526.39/408,332.16
  6. Step 6: Final answer
    x = 313,390.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.