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Finding the Fourth Proportional to 342,049.96, 513,073.02 and 117,567.40

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Solution

The fourth proportional to 342,049.96, 513,073.02 and 117,567.40 is: 176,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,049.96 : 513,073.02 = 117,567.40 : x
  2. Step 2: Convert to fraction form
    342,049.96/513,073.02 = 117,567.40/x
  3. Step 3: Cross multiply
    342,049.96x = 513,073.02 × 117,567.40
  4. Step 4: Simplify right side
    342,049.96x = 60,320,660,971.55
  5. Step 5: Solve for x
    x = 60,320,660,971.55/342,049.96
  6. Step 6: Final answer
    x = 176,350.44

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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.