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Finding the Fourth Proportional to 338,893.68, 467,685.72 and 204,731.76

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Solution

The fourth proportional to 338,893.68, 467,685.72 and 204,731.76 is: 282,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,893.68 : 467,685.72 = 204,731.76 : x
  2. Step 2: Convert to fraction form
    338,893.68/467,685.72 = 204,731.76/x
  3. Step 3: Cross multiply
    338,893.68x = 467,685.72 × 204,731.76
  4. Step 4: Simplify right side
    338,893.68x = 95,750,120,582.47
  5. Step 5: Solve for x
    x = 95,750,120,582.47/338,893.68
  6. Step 6: Final answer
    x = 282,537.34

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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.