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Finding the Fourth Proportional to 274,064.20, 410,654.70 and 155,382.60

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Solution

The fourth proportional to 274,064.20, 410,654.70 and 155,382.60 is: 232,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,064.20 : 410,654.70 = 155,382.60 : x
  2. Step 2: Convert to fraction form
    274,064.20/410,654.70 = 155,382.60/x
  3. Step 3: Cross multiply
    274,064.20x = 410,654.70 × 155,382.60
  4. Step 4: Simplify right side
    274,064.20x = 63,808,594,988.22
  5. Step 5: Solve for x
    x = 63,808,594,988.22/274,064.20
  6. Step 6: Final answer
    x = 232,823.53

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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.