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Finding the Fourth Proportional to 296,438.98, 444,607.74 and 106,861.60

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Solution

The fourth proportional to 296,438.98, 444,607.74 and 106,861.60 is: 160,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,438.98 : 444,607.74 = 106,861.60 : x
  2. Step 2: Convert to fraction form
    296,438.98/444,607.74 = 106,861.60/x
  3. Step 3: Cross multiply
    296,438.98x = 444,607.74 × 106,861.60
  4. Step 4: Simplify right side
    296,438.98x = 47,511,494,468.78
  5. Step 5: Solve for x
    x = 47,511,494,468.78/296,438.98
  6. Step 6: Final answer
    x = 160,274.11

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1.5x scale

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.