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Finding the Fourth Proportional to 468,895.68, 703,868.40 and 311,431.68

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Solution

The fourth proportional to 468,895.68, 703,868.40 and 311,431.68 is: 467,496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,895.68 : 703,868.40 = 311,431.68 : x
  2. Step 2: Convert to fraction form
    468,895.68/703,868.40 = 311,431.68/x
  3. Step 3: Cross multiply
    468,895.68x = 703,868.40 × 311,431.68
  4. Step 4: Simplify right side
    468,895.68x = 219,206,918,310.91
  5. Step 5: Solve for x
    x = 219,206,918,310.91/468,895.68
  6. Step 6: Final answer
    x = 467,496.14

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Why These Related Problems?

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