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Finding the Fourth Proportional to 338,801.28, 467,565.12 and 204,708.48

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Solution

The fourth proportional to 338,801.28, 467,565.12 and 204,708.48 is: 282,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,801.28 : 467,565.12 = 204,708.48 : x
  2. Step 2: Convert to fraction form
    338,801.28/467,565.12 = 204,708.48/x
  3. Step 3: Cross multiply
    338,801.28x = 467,565.12 × 204,708.48
  4. Step 4: Simplify right side
    338,801.28x = 95,714,545,016.22
  5. Step 5: Solve for x
    x = 95,714,545,016.22/338,801.28
  6. Step 6: Final answer
    x = 282,509.40

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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.