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Finding the Fourth Proportional to 338,407.36, 466,827.46 and 229,474.86

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Solution

The fourth proportional to 338,407.36, 466,827.46 and 229,474.86 is: 316,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,407.36 : 466,827.46 = 229,474.86 : x
  2. Step 2: Convert to fraction form
    338,407.36/466,827.46 = 229,474.86/x
  3. Step 3: Cross multiply
    338,407.36x = 466,827.46 × 229,474.86
  4. Step 4: Simplify right side
    338,407.36x = 107,125,166,027.66
  5. Step 5: Solve for x
    x = 107,125,166,027.66/338,407.36
  6. Step 6: Final answer
    x = 316,556.84

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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.