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Finding the Fourth Proportional to 417,730.26, 576,468.45 and 226,743.74

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Solution

The fourth proportional to 417,730.26, 576,468.45 and 226,743.74 is: 312,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,730.26 : 576,468.45 = 226,743.74 : x
  2. Step 2: Convert to fraction form
    417,730.26/576,468.45 = 226,743.74/x
  3. Step 3: Cross multiply
    417,730.26x = 576,468.45 × 226,743.74
  4. Step 4: Simplify right side
    417,730.26x = 130,710,609,462.66
  5. Step 5: Solve for x
    x = 130,710,609,462.66/417,730.26
  6. Step 6: Final answer
    x = 312,906.73

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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.