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Finding the Fourth Proportional to 468,983.46, 703,401.68 and 149,093.40

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Solution

The fourth proportional to 468,983.46, 703,401.68 and 149,093.40 is: 223,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,983.46 : 703,401.68 = 149,093.40 : x
  2. Step 2: Convert to fraction form
    468,983.46/703,401.68 = 149,093.40/x
  3. Step 3: Cross multiply
    468,983.46x = 703,401.68 × 149,093.40
  4. Step 4: Simplify right side
    468,983.46x = 104,872,548,036.91
  5. Step 5: Solve for x
    x = 104,872,548,036.91/468,983.46
  6. Step 6: Final answer
    x = 223,616.73

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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.