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Finding the Fourth Proportional to 719,869, 993,419.30 and 418,082.44

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Solution

The fourth proportional to 719,869, 993,419.30 and 418,082.44 is: 576,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,869 : 993,419.30 = 418,082.44 : x
  2. Step 2: Convert to fraction form
    719,869/993,419.30 = 418,082.44/x
  3. Step 3: Cross multiply
    719,869x = 993,419.30 × 418,082.44
  4. Step 4: Simplify right side
    719,869x = 415,331,164,887.09
  5. Step 5: Solve for x
    x = 415,331,164,887.09/719,869
  6. Step 6: Final answer
    x = 576,953.81

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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.