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Finding the Fourth Proportional to 219,027.70, 328,541.55 and 196,909.30

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Solution

The fourth proportional to 219,027.70, 328,541.55 and 196,909.30 is: 295,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,027.70 : 328,541.55 = 196,909.30 : x
  2. Step 2: Convert to fraction form
    219,027.70/328,541.55 = 196,909.30/x
  3. Step 3: Cross multiply
    219,027.70x = 328,541.55 × 196,909.30
  4. Step 4: Simplify right side
    219,027.70x = 64,692,886,631.42
  5. Step 5: Solve for x
    x = 64,692,886,631.42/219,027.70
  6. Step 6: Final answer
    x = 295,363.95

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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.