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Finding the Fourth Proportional to 1,425,741.38, 1,967,447.85 and 813,869.81

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Solution

The fourth proportional to 1,425,741.38, 1,967,447.85 and 813,869.81 is: 1,123,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425,741.38 : 1,967,447.85 = 813,869.81 : x
  2. Step 2: Convert to fraction form
    1,425,741.38/1,967,447.85 = 813,869.81/x
  3. Step 3: Cross multiply
    1,425,741.38x = 1,967,447.85 × 813,869.81
  4. Step 4: Simplify right side
    1,425,741.38x = 1,601,246,407,864.41
  5. Step 5: Solve for x
    x = 1,601,246,407,864.41/1,425,741.38
  6. Step 6: Final answer
    x = 1,123,097.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.