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Finding the Fourth Proportional to 680,941, 939,705.12 and 379,141.48

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Solution

The fourth proportional to 680,941, 939,705.12 and 379,141.48 is: 523,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,941 : 939,705.12 = 379,141.48 : x
  2. Step 2: Convert to fraction form
    680,941/939,705.12 = 379,141.48/x
  3. Step 3: Cross multiply
    680,941x = 939,705.12 × 379,141.48
  4. Step 4: Simplify right side
    680,941x = 356,281,189,960.38
  5. Step 5: Solve for x
    x = 356,281,189,960.38/680,941
  6. Step 6: Final answer
    x = 523,218.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.