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Finding the Fourth Proportional to 813,891, 1,123,169.58 and 456,195

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Solution

The fourth proportional to 813,891, 1,123,169.58 and 456,195 is: 629,549.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,891 : 1,123,169.58 = 456,195 : x
  2. Step 2: Convert to fraction form
    813,891/1,123,169.58 = 456,195/x
  3. Step 3: Cross multiply
    813,891x = 1,123,169.58 × 456,195
  4. Step 4: Simplify right side
    813,891x = 512,384,346,548.10
  5. Step 5: Solve for x
    x = 512,384,346,548.10/813,891
  6. Step 6: Final answer
    x = 629,549.10

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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.