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Finding the Fourth Proportional to 422,981.38, 583,853.89 and 378,141.05

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Solution

The fourth proportional to 422,981.38, 583,853.89 and 378,141.05 is: 521,959.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,981.38 : 583,853.89 = 378,141.05 : x
  2. Step 2: Convert to fraction form
    422,981.38/583,853.89 = 378,141.05/x
  3. Step 3: Cross multiply
    422,981.38x = 583,853.89 × 378,141.05
  4. Step 4: Simplify right side
    422,981.38x = 220,779,123,011.19
  5. Step 5: Solve for x
    x = 220,779,123,011.19/422,981.38
  6. Step 6: Final answer
    x = 521,959.44

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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.