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Finding the Fourth Proportional to 469,026.94, 704,481.78 and 279,856.40

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Solution

The fourth proportional to 469,026.94, 704,481.78 and 279,856.40 is: 420,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,026.94 : 704,481.78 = 279,856.40 : x
  2. Step 2: Convert to fraction form
    469,026.94/704,481.78 = 279,856.40/x
  3. Step 3: Cross multiply
    469,026.94x = 704,481.78 × 279,856.40
  4. Step 4: Simplify right side
    469,026.94x = 197,153,734,816.39
  5. Step 5: Solve for x
    x = 197,153,734,816.39/469,026.94
  6. Step 6: Final answer
    x = 420,346.29

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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.