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Finding the Fourth Proportional to 506,310.48, 698,379.23 and 324,734.81

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Solution

The fourth proportional to 506,310.48, 698,379.23 and 324,734.81 is: 447,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,310.48 : 698,379.23 = 324,734.81 : x
  2. Step 2: Convert to fraction form
    506,310.48/698,379.23 = 324,734.81/x
  3. Step 3: Cross multiply
    506,310.48x = 698,379.23 × 324,734.81
  4. Step 4: Simplify right side
    506,310.48x = 226,788,043,881.94
  5. Step 5: Solve for x
    x = 226,788,043,881.94/506,310.48
  6. Step 6: Final answer
    x = 447,922.87

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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.