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Finding the Fourth Proportional to 271,364.78, 406,990.02 and 175,013.38

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Solution

The fourth proportional to 271,364.78, 406,990.02 and 175,013.38 is: 262,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,364.78 : 406,990.02 = 175,013.38 : x
  2. Step 2: Convert to fraction form
    271,364.78/406,990.02 = 175,013.38/x
  3. Step 3: Cross multiply
    271,364.78x = 406,990.02 × 175,013.38
  4. Step 4: Simplify right side
    271,364.78x = 71,228,699,742.23
  5. Step 5: Solve for x
    x = 71,228,699,742.23/271,364.78
  6. Step 6: Final answer
    x = 262,483.22

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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.