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Finding the Fourth Proportional to 342,334.92, 513,376.64 and 117,631.60

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Solution

The fourth proportional to 342,334.92, 513,376.64 and 117,631.60 is: 176,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,334.92 : 513,376.64 = 117,631.60 : x
  2. Step 2: Convert to fraction form
    342,334.92/513,376.64 = 117,631.60/x
  3. Step 3: Cross multiply
    342,334.92x = 513,376.64 × 117,631.60
  4. Step 4: Simplify right side
    342,334.92x = 60,389,315,565.82
  5. Step 5: Solve for x
    x = 60,389,315,565.82/342,334.92
  6. Step 6: Final answer
    x = 176,404.19

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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.