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Finding the Fourth Proportional to 297,239.40, 446,150.70 and 147,648.60

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Solution

The fourth proportional to 297,239.40, 446,150.70 and 147,648.60 is: 221,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,239.40 : 446,150.70 = 147,648.60 : x
  2. Step 2: Convert to fraction form
    297,239.40/446,150.70 = 147,648.60/x
  3. Step 3: Cross multiply
    297,239.40x = 446,150.70 × 147,648.60
  4. Step 4: Simplify right side
    297,239.40x = 65,873,526,244.02
  5. Step 5: Solve for x
    x = 65,873,526,244.02/297,239.40
  6. Step 6: Final answer
    x = 221,617.75

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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.