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Finding the Fourth Proportional to 418,966.38, 578,168.74 and 227,976.48

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Solution

The fourth proportional to 418,966.38, 578,168.74 and 227,976.48 is: 314,604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,966.38 : 578,168.74 = 227,976.48 : x
  2. Step 2: Convert to fraction form
    418,966.38/578,168.74 = 227,976.48/x
  3. Step 3: Cross multiply
    418,966.38x = 578,168.74 × 227,976.48
  4. Step 4: Simplify right side
    418,966.38x = 131,808,874,191.24
  5. Step 5: Solve for x
    x = 131,808,874,191.24/418,966.38
  6. Step 6: Final answer
    x = 314,604.90

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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.