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Finding the Fourth Proportional to 417,659.11, 576,354.15 and 226,668.40

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Solution

The fourth proportional to 417,659.11, 576,354.15 and 226,668.40 is: 312,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,659.11 : 576,354.15 = 226,668.40 : x
  2. Step 2: Convert to fraction form
    417,659.11/576,354.15 = 226,668.40/x
  3. Step 3: Cross multiply
    417,659.11x = 576,354.15 × 226,668.40
  4. Step 4: Simplify right side
    417,659.11x = 130,641,271,572.98
  5. Step 5: Solve for x
    x = 130,641,271,572.98/417,659.11
  6. Step 6: Final answer
    x = 312,794.02

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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.