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Finding the Fourth Proportional to 342,114.80, 512,826.60 and 155,260.40

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Solution

The fourth proportional to 342,114.80, 512,826.60 and 155,260.40 is: 232,733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,114.80 : 512,826.60 = 155,260.40 : x
  2. Step 2: Convert to fraction form
    342,114.80/512,826.60 = 155,260.40/x
  3. Step 3: Cross multiply
    342,114.80x = 512,826.60 × 155,260.40
  4. Step 4: Simplify right side
    342,114.80x = 79,621,663,046.64
  5. Step 5: Solve for x
    x = 79,621,663,046.64/342,114.80
  6. Step 6: Final answer
    x = 232,733.76

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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.