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Finding the Fourth Proportional to 340,375.64, 469,846.92 and 267,588.65

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Solution

The fourth proportional to 340,375.64, 469,846.92 and 267,588.65 is: 369,373.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,375.64 : 469,846.92 = 267,588.65 : x
  2. Step 2: Convert to fraction form
    340,375.64/469,846.92 = 267,588.65/x
  3. Step 3: Cross multiply
    340,375.64x = 469,846.92 × 267,588.65
  4. Step 4: Simplify right side
    340,375.64x = 125,725,703,029.46
  5. Step 5: Solve for x
    x = 125,725,703,029.46/340,375.64
  6. Step 6: Final answer
    x = 369,373.39

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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.