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Finding the Fourth Proportional to 271,277.40, 406,916.10 and 171,744.60

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Solution

The fourth proportional to 271,277.40, 406,916.10 and 171,744.60 is: 257,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,277.40 : 406,916.10 = 171,744.60 : x
  2. Step 2: Convert to fraction form
    271,277.40/406,916.10 = 171,744.60/x
  3. Step 3: Cross multiply
    271,277.40x = 406,916.10 × 171,744.60
  4. Step 4: Simplify right side
    271,277.40x = 69,885,642,828.06
  5. Step 5: Solve for x
    x = 69,885,642,828.06/271,277.40
  6. Step 6: Final answer
    x = 257,616.90

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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.