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Finding the Fourth Proportional to 418,877.82, 578,048.76 and 227,892.06

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Solution

The fourth proportional to 418,877.82, 578,048.76 and 227,892.06 is: 314,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,877.82 : 578,048.76 = 227,892.06 : x
  2. Step 2: Convert to fraction form
    418,877.82/578,048.76 = 227,892.06/x
  3. Step 3: Cross multiply
    418,877.82x = 578,048.76 × 227,892.06
  4. Step 4: Simplify right side
    418,877.82x = 131,732,722,696.85
  5. Step 5: Solve for x
    x = 131,732,722,696.85/418,877.82
  6. Step 6: Final answer
    x = 314,489.61

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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.