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Finding the Fourth Proportional to 499,314.38, 689,053.84 and 272,959.88

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Solution

The fourth proportional to 499,314.38, 689,053.84 and 272,959.88 is: 376,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,314.38 : 689,053.84 = 272,959.88 : x
  2. Step 2: Convert to fraction form
    499,314.38/689,053.84 = 272,959.88/x
  3. Step 3: Cross multiply
    499,314.38x = 689,053.84 × 272,959.88
  4. Step 4: Simplify right side
    499,314.38x = 188,084,049,352.27
  5. Step 5: Solve for x
    x = 188,084,049,352.27/499,314.38
  6. Step 6: Final answer
    x = 376,684.63

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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.