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Finding the Fourth Proportional to 271,504.53, 406,592.13 and 191,345.49

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Solution

The fourth proportional to 271,504.53, 406,592.13 and 191,345.49 is: 286,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,504.53 : 406,592.13 = 191,345.49 : x
  2. Step 2: Convert to fraction form
    271,504.53/406,592.13 = 191,345.49/x
  3. Step 3: Cross multiply
    271,504.53x = 406,592.13 × 191,345.49
  4. Step 4: Simplify right side
    271,504.53x = 77,799,570,344.99
  5. Step 5: Solve for x
    x = 77,799,570,344.99/271,504.53
  6. Step 6: Final answer
    x = 286,549.81

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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.