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Finding the Fourth Proportional to 468,665.85, 702,998.78 and 309,233.55

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Solution

The fourth proportional to 468,665.85, 702,998.78 and 309,233.55 is: 463,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,665.85 : 702,998.78 = 309,233.55 : x
  2. Step 2: Convert to fraction form
    468,665.85/702,998.78 = 309,233.55/x
  3. Step 3: Cross multiply
    468,665.85x = 702,998.78 × 309,233.55
  4. Step 4: Simplify right side
    468,665.85x = 217,390,806,838.90
  5. Step 5: Solve for x
    x = 217,390,806,838.90/468,665.85
  6. Step 6: Final answer
    x = 463,850.33

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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.