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Finding the Fourth Proportional to 411,152.30, 616,770.74 and 155,200.46

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Solution

The fourth proportional to 411,152.30, 616,770.74 and 155,200.46 is: 232,816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,152.30 : 616,770.74 = 155,200.46 : x
  2. Step 2: Convert to fraction form
    411,152.30/616,770.74 = 155,200.46/x
  3. Step 3: Cross multiply
    411,152.30x = 616,770.74 × 155,200.46
  4. Step 4: Simplify right side
    411,152.30x = 95,723,098,702.68
  5. Step 5: Solve for x
    x = 95,723,098,702.68/411,152.30
  6. Step 6: Final answer
    x = 232,816.65

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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.