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Finding the Fourth Proportional to 215,856.40, 323,784.60 and 196,502.80

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Solution

The fourth proportional to 215,856.40, 323,784.60 and 196,502.80 is: 294,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,856.40 : 323,784.60 = 196,502.80 : x
  2. Step 2: Convert to fraction form
    215,856.40/323,784.60 = 196,502.80/x
  3. Step 3: Cross multiply
    215,856.40x = 323,784.60 × 196,502.80
  4. Step 4: Simplify right side
    215,856.40x = 63,624,580,496.88
  5. Step 5: Solve for x
    x = 63,624,580,496.88/215,856.40
  6. Step 6: Final answer
    x = 294,754.20

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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.