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Finding the Fourth Proportional to 342,614.07, 513,918.24 and 267,797.16

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Solution

The fourth proportional to 342,614.07, 513,918.24 and 267,797.16 is: 401,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,614.07 : 513,918.24 = 267,797.16 : x
  2. Step 2: Convert to fraction form
    342,614.07/513,918.24 = 267,797.16/x
  3. Step 3: Cross multiply
    342,614.07x = 513,918.24 × 267,797.16
  4. Step 4: Simplify right side
    342,614.07x = 137,625,845,144.20
  5. Step 5: Solve for x
    x = 137,625,845,144.20/342,614.07
  6. Step 6: Final answer
    x = 401,693.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.