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Finding the Fourth Proportional to 466,394.37, 699,236.02 and 146,361.66

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Solution

The fourth proportional to 466,394.37, 699,236.02 and 146,361.66 is: 219,430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,394.37 : 699,236.02 = 146,361.66 : x
  2. Step 2: Convert to fraction form
    466,394.37/699,236.02 = 146,361.66/x
  3. Step 3: Cross multiply
    466,394.37x = 699,236.02 × 146,361.66
  4. Step 4: Simplify right side
    466,394.37x = 102,341,344,618.99
  5. Step 5: Solve for x
    x = 102,341,344,618.99/466,394.37
  6. Step 6: Final answer
    x = 219,430.92

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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.