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Finding the Fourth Proportional to 418,023.72, 576,863.24 and 227,033

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Solution

The fourth proportional to 418,023.72, 576,863.24 and 227,033 is: 313,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,023.72 : 576,863.24 = 227,033 : x
  2. Step 2: Convert to fraction form
    418,023.72/576,863.24 = 227,033/x
  3. Step 3: Cross multiply
    418,023.72x = 576,863.24 × 227,033
  4. Step 4: Simplify right side
    418,023.72x = 130,966,991,966.92
  5. Step 5: Solve for x
    x = 130,966,991,966.92/418,023.72
  6. Step 6: Final answer
    x = 313,300.38

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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.