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Finding the Fourth Proportional to 296,096.60, 444,209.70 and 146,408.60

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Solution

The fourth proportional to 296,096.60, 444,209.70 and 146,408.60 is: 219,644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,096.60 : 444,209.70 = 146,408.60 : x
  2. Step 2: Convert to fraction form
    296,096.60/444,209.70 = 146,408.60/x
  3. Step 3: Cross multiply
    296,096.60x = 444,209.70 × 146,408.60
  4. Step 4: Simplify right side
    296,096.60x = 65,036,120,283.42
  5. Step 5: Solve for x
    x = 65,036,120,283.42/296,096.60
  6. Step 6: Final answer
    x = 219,644.94

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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.