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Finding the Fourth Proportional to 338,722.53, 467,437.76 and 185,761.80

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Solution

The fourth proportional to 338,722.53, 467,437.76 and 185,761.80 is: 256,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,722.53 : 467,437.76 = 185,761.80 : x
  2. Step 2: Convert to fraction form
    338,722.53/467,437.76 = 185,761.80/x
  3. Step 3: Cross multiply
    338,722.53x = 467,437.76 × 185,761.80
  4. Step 4: Simplify right side
    338,722.53x = 86,832,080,854.16
  5. Step 5: Solve for x
    x = 86,832,080,854.16/338,722.53
  6. Step 6: Final answer
    x = 256,351.65

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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.