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Finding the Fourth Proportional to 338,594.25, 467,265.33 and 185,646.41

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Solution

The fourth proportional to 338,594.25, 467,265.33 and 185,646.41 is: 256,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,594.25 : 467,265.33 = 185,646.41 : x
  2. Step 2: Convert to fraction form
    338,594.25/467,265.33 = 185,646.41/x
  3. Step 3: Cross multiply
    338,594.25x = 467,265.33 × 185,646.41
  4. Step 4: Simplify right side
    338,594.25x = 86,746,131,031.97
  5. Step 5: Solve for x
    x = 86,746,131,031.97/338,594.25
  6. Step 6: Final answer
    x = 256,194.93

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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.