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Finding the Fourth Proportional to 338,273.82, 466,273.80 and 229,342.86

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Solution

The fourth proportional to 338,273.82, 466,273.80 and 229,342.86 is: 316,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,273.82 : 466,273.80 = 229,342.86 : x
  2. Step 2: Convert to fraction form
    338,273.82/466,273.80 = 229,342.86/x
  3. Step 3: Cross multiply
    338,273.82x = 466,273.80 × 229,342.86
  4. Step 4: Simplify right side
    338,273.82x = 106,936,566,835.07
  5. Step 5: Solve for x
    x = 106,936,566,835.07/338,273.82
  6. Step 6: Final answer
    x = 316,124.28

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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.