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Finding the Fourth Proportional to 418,963.38, 578,164.60 and 227,973.48

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Solution

The fourth proportional to 418,963.38, 578,164.60 and 227,973.48 is: 314,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,963.38 : 578,164.60 = 227,973.48 : x
  2. Step 2: Convert to fraction form
    418,963.38/578,164.60 = 227,973.48/x
  3. Step 3: Cross multiply
    418,963.38x = 578,164.60 × 227,973.48
  4. Step 4: Simplify right side
    418,963.38x = 131,806,195,874.81
  5. Step 5: Solve for x
    x = 131,806,195,874.81/418,963.38
  6. Step 6: Final answer
    x = 314,600.76

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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.