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Finding the Fourth Proportional to 271,224.65, 406,607.24 and 165,822.19

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Solution

The fourth proportional to 271,224.65, 406,607.24 and 165,822.19 is: 248,592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,224.65 : 406,607.24 = 165,822.19 : x
  2. Step 2: Convert to fraction form
    271,224.65/406,607.24 = 165,822.19/x
  3. Step 3: Cross multiply
    271,224.65x = 406,607.24 × 165,822.19
  4. Step 4: Simplify right side
    271,224.65x = 67,424,502,404.69
  5. Step 5: Solve for x
    x = 67,424,502,404.69/271,224.65
  6. Step 6: Final answer
    x = 248,592.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.