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Finding the Fourth Proportional to 342,438.42, 513,529.92 and 117,735.24

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Solution

The fourth proportional to 342,438.42, 513,529.92 and 117,735.24 is: 176,558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,438.42 : 513,529.92 = 117,735.24 : x
  2. Step 2: Convert to fraction form
    342,438.42/513,529.92 = 117,735.24/x
  3. Step 3: Cross multiply
    342,438.42x = 513,529.92 × 117,735.24
  4. Step 4: Simplify right side
    342,438.42x = 60,460,568,378.38
  5. Step 5: Solve for x
    x = 60,460,568,378.38/342,438.42
  6. Step 6: Final answer
    x = 176,558.95

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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.