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Finding the Fourth Proportional to 417,849.79, 576,632.68 and 226,863.20

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Solution

The fourth proportional to 417,849.79, 576,632.68 and 226,863.20 is: 313,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,849.79 : 576,632.68 = 226,863.20 : x
  2. Step 2: Convert to fraction form
    417,849.79/576,632.68 = 226,863.20/x
  3. Step 3: Cross multiply
    417,849.79x = 576,632.68 × 226,863.20
  4. Step 4: Simplify right side
    417,849.79x = 130,816,735,009.38
  5. Step 5: Solve for x
    x = 130,816,735,009.38/417,849.79
  6. Step 6: Final answer
    x = 313,071.20

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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.