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Finding the Fourth Proportional to 691,444, 1,037,166 and 224,500

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Solution

The fourth proportional to 691,444, 1,037,166 and 224,500 is: 336,750

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,444 : 1,037,166 = 224,500 : x
  2. Step 2: Convert to fraction form
    691,444/1,037,166 = 224,500/x
  3. Step 3: Cross multiply
    691,444x = 1,037,166 × 224,500
  4. Step 4: Simplify right side
    691,444x = 232,843,767,000
  5. Step 5: Solve for x
    x = 232,843,767,000/691,444
  6. Step 6: Final answer
    x = 336,750

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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.