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Finding the Fourth Proportional to 342,719.85, 513,682.34 and 202,596.33

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Solution

The fourth proportional to 342,719.85, 513,682.34 and 202,596.33 is: 303,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,719.85 : 513,682.34 = 202,596.33 : x
  2. Step 2: Convert to fraction form
    342,719.85/513,682.34 = 202,596.33/x
  3. Step 3: Cross multiply
    342,719.85x = 513,682.34 × 202,596.33
  4. Step 4: Simplify right side
    342,719.85x = 104,070,155,856.83
  5. Step 5: Solve for x
    x = 104,070,155,856.83/342,719.85
  6. Step 6: Final answer
    x = 303,659.55

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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.