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Finding the Fourth Proportional to 693,552, 1,040,328 and 194,916

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Solution

The fourth proportional to 693,552, 1,040,328 and 194,916 is: 292,374

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,552 : 1,040,328 = 194,916 : x
  2. Step 2: Convert to fraction form
    693,552/1,040,328 = 194,916/x
  3. Step 3: Cross multiply
    693,552x = 1,040,328 × 194,916
  4. Step 4: Simplify right side
    693,552x = 202,776,572,448
  5. Step 5: Solve for x
    x = 202,776,572,448/693,552
  6. Step 6: Final answer
    x = 292,374

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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.