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Finding the Fourth Proportional to 689,904, 1,034,856 and 191,268

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Solution

The fourth proportional to 689,904, 1,034,856 and 191,268 is: 286,902

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,904 : 1,034,856 = 191,268 : x
  2. Step 2: Convert to fraction form
    689,904/1,034,856 = 191,268/x
  3. Step 3: Cross multiply
    689,904x = 1,034,856 × 191,268
  4. Step 4: Simplify right side
    689,904x = 197,934,837,408
  5. Step 5: Solve for x
    x = 197,934,837,408/689,904
  6. Step 6: Final answer
    x = 286,902

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.