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Finding the Fourth Proportional to 468,981.96, 703,399.43 and 149,091.90

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Solution

The fourth proportional to 468,981.96, 703,399.43 and 149,091.90 is: 223,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,981.96 : 703,399.43 = 149,091.90 : x
  2. Step 2: Convert to fraction form
    468,981.96/703,399.43 = 149,091.90/x
  3. Step 3: Cross multiply
    468,981.96x = 703,399.43 × 149,091.90
  4. Step 4: Simplify right side
    468,981.96x = 104,871,156,732.16
  5. Step 5: Solve for x
    x = 104,871,156,732.16/468,981.96
  6. Step 6: Final answer
    x = 223,614.48

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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.