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Finding the Fourth Proportional to 296,432, 444,771.24 and 119,064.80

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Solution

The fourth proportional to 296,432, 444,771.24 and 119,064.80 is: 178,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,432 : 444,771.24 = 119,064.80 : x
  2. Step 2: Convert to fraction form
    296,432/444,771.24 = 119,064.80/x
  3. Step 3: Cross multiply
    296,432x = 444,771.24 × 119,064.80
  4. Step 4: Simplify right side
    296,432x = 52,956,598,736.35
  5. Step 5: Solve for x
    x = 52,956,598,736.35/296,432
  6. Step 6: Final answer
    x = 178,646.70

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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.