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Finding the Fourth Proportional to 699,828.84, 965,266.26 and 467,138.40

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Solution

The fourth proportional to 699,828.84, 965,266.26 and 467,138.40 is: 644,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,828.84 : 965,266.26 = 467,138.40 : x
  2. Step 2: Convert to fraction form
    699,828.84/965,266.26 = 467,138.40/x
  3. Step 3: Cross multiply
    699,828.84x = 965,266.26 × 467,138.40
  4. Step 4: Simplify right side
    699,828.84x = 450,912,936,270.38
  5. Step 5: Solve for x
    x = 450,912,936,270.38/699,828.84
  6. Step 6: Final answer
    x = 644,318.88

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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.