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Finding the Fourth Proportional to 338,854.94, 467,623.38 and 185,893.44

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Solution

The fourth proportional to 338,854.94, 467,623.38 and 185,893.44 is: 256,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,854.94 : 467,623.38 = 185,893.44 : x
  2. Step 2: Convert to fraction form
    338,854.94/467,623.38 = 185,893.44/x
  3. Step 3: Cross multiply
    338,854.94x = 467,623.38 × 185,893.44
  4. Step 4: Simplify right side
    338,854.94x = 86,928,118,732.63
  5. Step 5: Solve for x
    x = 86,928,118,732.63/338,854.94
  6. Step 6: Final answer
    x = 256,534.90

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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.