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Finding the Fourth Proportional to 446,350.52, 669,451.88 and 146,834.84

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Solution

The fourth proportional to 446,350.52, 669,451.88 and 146,834.84 is: 220,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,350.52 : 669,451.88 = 146,834.84 : x
  2. Step 2: Convert to fraction form
    446,350.52/669,451.88 = 146,834.84/x
  3. Step 3: Cross multiply
    446,350.52x = 669,451.88 × 146,834.84
  4. Step 4: Simplify right side
    446,350.52x = 98,298,859,687.50
  5. Step 5: Solve for x
    x = 98,298,859,687.50/446,350.52
  6. Step 6: Final answer
    x = 220,227.95

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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.