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Finding the Fourth Proportional to 468,767.28, 646,893.19 and 284,944.95

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Solution

The fourth proportional to 468,767.28, 646,893.19 and 284,944.95 is: 393,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,767.28 : 646,893.19 = 284,944.95 : x
  2. Step 2: Convert to fraction form
    468,767.28/646,893.19 = 284,944.95/x
  3. Step 3: Cross multiply
    468,767.28x = 646,893.19 × 284,944.95
  4. Step 4: Simplify right side
    468,767.28x = 184,328,947,342.96
  5. Step 5: Solve for x
    x = 184,328,947,342.96/468,767.28
  6. Step 6: Final answer
    x = 393,220.60

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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.