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Finding the Fourth Proportional to 341,498.84, 471,269.10 and 188,537.33

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Solution

The fourth proportional to 341,498.84, 471,269.10 and 188,537.33 is: 260,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,498.84 : 471,269.10 = 188,537.33 : x
  2. Step 2: Convert to fraction form
    341,498.84/471,269.10 = 188,537.33/x
  3. Step 3: Cross multiply
    341,498.84x = 471,269.10 × 188,537.33
  4. Step 4: Simplify right side
    341,498.84x = 88,851,816,882.82
  5. Step 5: Solve for x
    x = 88,851,816,882.82/341,498.84
  6. Step 6: Final answer
    x = 260,181.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.