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Finding the Fourth Proportional to 691,536, 1,037,304 and 224,592

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Solution

The fourth proportional to 691,536, 1,037,304 and 224,592 is: 336,888

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,536 : 1,037,304 = 224,592 : x
  2. Step 2: Convert to fraction form
    691,536/1,037,304 = 224,592/x
  3. Step 3: Cross multiply
    691,536x = 1,037,304 × 224,592
  4. Step 4: Simplify right side
    691,536x = 232,970,179,968
  5. Step 5: Solve for x
    x = 232,970,179,968/691,536
  6. Step 6: Final answer
    x = 336,888

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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.