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Finding the Fourth Proportional to 337,792.68, 466,066.44 and 201,771

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Solution

The fourth proportional to 337,792.68, 466,066.44 and 201,771 is: 278,391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,792.68 : 466,066.44 = 201,771 : x
  2. Step 2: Convert to fraction form
    337,792.68/466,066.44 = 201,771/x
  3. Step 3: Cross multiply
    337,792.68x = 466,066.44 × 201,771
  4. Step 4: Simplify right side
    337,792.68x = 94,038,691,665.24
  5. Step 5: Solve for x
    x = 94,038,691,665.24/337,792.68
  6. Step 6: Final answer
    x = 278,391.74

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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.