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Finding the Fourth Proportional to 342,475.92, 513,586.17 and 117,772.74

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Solution

The fourth proportional to 342,475.92, 513,586.17 and 117,772.74 is: 176,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,475.92 : 513,586.17 = 117,772.74 : x
  2. Step 2: Convert to fraction form
    342,475.92/513,586.17 = 117,772.74/x
  3. Step 3: Cross multiply
    342,475.92x = 513,586.17 × 117,772.74
  4. Step 4: Simplify right side
    342,475.92x = 60,486,450,467.01
  5. Step 5: Solve for x
    x = 60,486,450,467.01/342,475.92
  6. Step 6: Final answer
    x = 176,615.19

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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.