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Finding the Fourth Proportional to 466,376.46, 699,586.56 and 150,858

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Solution

The fourth proportional to 466,376.46, 699,586.56 and 150,858 is: 226,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,376.46 : 699,586.56 = 150,858 : x
  2. Step 2: Convert to fraction form
    466,376.46/699,586.56 = 150,858/x
  3. Step 3: Cross multiply
    466,376.46x = 699,586.56 × 150,858
  4. Step 4: Simplify right side
    466,376.46x = 105,538,229,268.48
  5. Step 5: Solve for x
    x = 105,538,229,268.48/466,376.46
  6. Step 6: Final answer
    x = 226,294.07

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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.