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Finding the Fourth Proportional to 466,396.50, 699,716.94 and 146,535.45

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Solution

The fourth proportional to 466,396.50, 699,716.94 and 146,535.45 is: 219,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,396.50 : 699,716.94 = 146,535.45 : x
  2. Step 2: Convert to fraction form
    466,396.50/699,716.94 = 146,535.45/x
  3. Step 3: Cross multiply
    466,396.50x = 699,716.94 × 146,535.45
  4. Step 4: Simplify right side
    466,396.50x = 102,533,336,126.02
  5. Step 5: Solve for x
    x = 102,533,336,126.02/466,396.50
  6. Step 6: Final answer
    x = 219,841.56

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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.