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Finding the Fourth Proportional to 296,564.60, 444,846.90 and 217,832.60

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Solution

The fourth proportional to 296,564.60, 444,846.90 and 217,832.60 is: 326,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,564.60 : 444,846.90 = 217,832.60 : x
  2. Step 2: Convert to fraction form
    296,564.60/444,846.90 = 217,832.60/x
  3. Step 3: Cross multiply
    296,564.60x = 444,846.90 × 217,832.60
  4. Step 4: Simplify right side
    296,564.60x = 96,902,156,828.94
  5. Step 5: Solve for x
    x = 96,902,156,828.94/296,564.60
  6. Step 6: Final answer
    x = 326,748.90

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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.