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Finding the Fourth Proportional to 468,500.24, 702,301.42 and 198,256.63

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Solution

The fourth proportional to 468,500.24, 702,301.42 and 198,256.63 is: 297,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,500.24 : 702,301.42 = 198,256.63 : x
  2. Step 2: Convert to fraction form
    468,500.24/702,301.42 = 198,256.63/x
  3. Step 3: Cross multiply
    468,500.24x = 702,301.42 × 198,256.63
  4. Step 4: Simplify right side
    468,500.24x = 139,235,912,773.42
  5. Step 5: Solve for x
    x = 139,235,912,773.42/468,500.24
  6. Step 6: Final answer
    x = 297,194.97

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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.