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Finding the Fourth Proportional to 219,533.40, 328,906.44 and 207,723.60

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Solution

The fourth proportional to 219,533.40, 328,906.44 and 207,723.60 is: 311,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,533.40 : 328,906.44 = 207,723.60 : x
  2. Step 2: Convert to fraction form
    219,533.40/328,906.44 = 207,723.60/x
  3. Step 3: Cross multiply
    219,533.40x = 328,906.44 × 207,723.60
  4. Step 4: Simplify right side
    219,533.40x = 68,321,629,779.98
  5. Step 5: Solve for x
    x = 68,321,629,779.98/219,533.40
  6. Step 6: Final answer
    x = 311,212.92

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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.