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Finding the Fourth Proportional to 465,313.21, 698,082.02 and 161,663.17

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Solution

The fourth proportional to 465,313.21, 698,082.02 and 161,663.17 is: 242,533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,313.21 : 698,082.02 = 161,663.17 : x
  2. Step 2: Convert to fraction form
    465,313.21/698,082.02 = 161,663.17/x
  3. Step 3: Cross multiply
    465,313.21x = 698,082.02 × 161,663.17
  4. Step 4: Simplify right side
    465,313.21x = 112,854,147,974.48
  5. Step 5: Solve for x
    x = 112,854,147,974.48/465,313.21
  6. Step 6: Final answer
    x = 242,533.73

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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.