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Finding the Fourth Proportional to 296,234.60, 444,416.70 and 96,564.20

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Solution

The fourth proportional to 296,234.60, 444,416.70 and 96,564.20 is: 144,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,234.60 : 444,416.70 = 96,564.20 : x
  2. Step 2: Convert to fraction form
    296,234.60/444,416.70 = 96,564.20/x
  3. Step 3: Cross multiply
    296,234.60x = 444,416.70 × 96,564.20
  4. Step 4: Simplify right side
    296,234.60x = 42,914,743,102.14
  5. Step 5: Solve for x
    x = 42,914,743,102.14/296,234.60
  6. Step 6: Final answer
    x = 144,867.42

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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.