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Finding the Fourth Proportional to 342,717.85, 513,679.33 and 202,594.33

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Solution

The fourth proportional to 342,717.85, 513,679.33 and 202,594.33 is: 303,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,717.85 : 513,679.33 = 202,594.33 : x
  2. Step 2: Convert to fraction form
    342,717.85/513,679.33 = 202,594.33/x
  3. Step 3: Cross multiply
    342,717.85x = 513,679.33 × 202,594.33
  4. Step 4: Simplify right side
    342,717.85x = 104,068,519,696.20
  5. Step 5: Solve for x
    x = 104,068,519,696.20/342,717.85
  6. Step 6: Final answer
    x = 303,656.55

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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.