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Finding the Fourth Proportional to 699,856.68, 965,469.60 and 413,184.72

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Solution

The fourth proportional to 699,856.68, 965,469.60 and 413,184.72 is: 569,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,856.68 : 965,469.60 = 413,184.72 : x
  2. Step 2: Convert to fraction form
    699,856.68/965,469.60 = 413,184.72/x
  3. Step 3: Cross multiply
    699,856.68x = 965,469.60 × 413,184.72
  4. Step 4: Simplify right side
    699,856.68x = 398,917,286,344.51
  5. Step 5: Solve for x
    x = 398,917,286,344.51/699,856.68
  6. Step 6: Final answer
    x = 569,998.54

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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.