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Finding the Fourth Proportional to 506,471.49, 698,246.67 and 324,868.14

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Solution

The fourth proportional to 506,471.49, 698,246.67 and 324,868.14 is: 447,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,471.49 : 698,246.67 = 324,868.14 : x
  2. Step 2: Convert to fraction form
    506,471.49/698,246.67 = 324,868.14/x
  3. Step 3: Cross multiply
    506,471.49x = 698,246.67 × 324,868.14
  4. Step 4: Simplify right side
    506,471.49x = 226,838,096,944.09
  5. Step 5: Solve for x
    x = 226,838,096,944.09/506,471.49
  6. Step 6: Final answer
    x = 447,879.30

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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.