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Finding the Fourth Proportional to 342,107.60, 513,161.40 and 328,110.80

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Solution

The fourth proportional to 342,107.60, 513,161.40 and 328,110.80 is: 492,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,107.60 : 513,161.40 = 328,110.80 : x
  2. Step 2: Convert to fraction form
    342,107.60/513,161.40 = 328,110.80/x
  3. Step 3: Cross multiply
    342,107.60x = 513,161.40 × 328,110.80
  4. Step 4: Simplify right side
    342,107.60x = 168,373,797,483.12
  5. Step 5: Solve for x
    x = 168,373,797,483.12/342,107.60
  6. Step 6: Final answer
    x = 492,166.20

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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.