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Finding the Fourth Proportional to 770,767.80, 1,156,094.10 and 321,372.60

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Solution

The fourth proportional to 770,767.80, 1,156,094.10 and 321,372.60 is: 482,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,767.80 : 1,156,094.10 = 321,372.60 : x
  2. Step 2: Convert to fraction form
    770,767.80/1,156,094.10 = 321,372.60/x
  3. Step 3: Cross multiply
    770,767.80x = 1,156,094.10 × 321,372.60
  4. Step 4: Simplify right side
    770,767.80x = 371,536,966,761.66
  5. Step 5: Solve for x
    x = 371,536,966,761.66/770,767.80
  6. Step 6: Final answer
    x = 482,034.88

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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.