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Finding the Fourth Proportional to 466,678.32, 700,289.34 and 196,789.92

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Solution

The fourth proportional to 466,678.32, 700,289.34 and 196,789.92 is: 295,299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,678.32 : 700,289.34 = 196,789.92 : x
  2. Step 2: Convert to fraction form
    466,678.32/700,289.34 = 196,789.92/x
  3. Step 3: Cross multiply
    466,678.32x = 700,289.34 × 196,789.92
  4. Step 4: Simplify right side
    466,678.32x = 137,809,883,195.45
  5. Step 5: Solve for x
    x = 137,809,883,195.45/466,678.32
  6. Step 6: Final answer
    x = 295,299.52

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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.