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Finding the Fourth Proportional to 411,149.63, 616,766.75 and 155,197.78

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Solution

The fourth proportional to 411,149.63, 616,766.75 and 155,197.78 is: 232,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,149.63 : 616,766.75 = 155,197.78 : x
  2. Step 2: Convert to fraction form
    411,149.63/616,766.75 = 155,197.78/x
  3. Step 3: Cross multiply
    411,149.63x = 616,766.75 × 155,197.78
  4. Step 4: Simplify right side
    411,149.63x = 95,720,830,377.82
  5. Step 5: Solve for x
    x = 95,720,830,377.82/411,149.63
  6. Step 6: Final answer
    x = 232,812.64

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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.