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Finding the Fourth Proportional to 691,489, 1,037,408.54 and 192,853

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Solution

The fourth proportional to 691,489, 1,037,408.54 and 192,853 is: 289,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,489 : 1,037,408.54 = 192,853 : x
  2. Step 2: Convert to fraction form
    691,489/1,037,408.54 = 192,853/x
  3. Step 3: Cross multiply
    691,489x = 1,037,408.54 × 192,853
  4. Step 4: Simplify right side
    691,489x = 200,067,349,164.62
  5. Step 5: Solve for x
    x = 200,067,349,164.62/691,489
  6. Step 6: Final answer
    x = 289,328.32

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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.