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Finding the Fourth Proportional to 341,456.34, 471,235.82 and 188,523.98

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Solution

The fourth proportional to 341,456.34, 471,235.82 and 188,523.98 is: 260,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,456.34 : 471,235.82 = 188,523.98 : x
  2. Step 2: Convert to fraction form
    341,456.34/471,235.82 = 188,523.98/x
  3. Step 3: Cross multiply
    341,456.34x = 471,235.82 × 188,523.98
  4. Step 4: Simplify right side
    341,456.34x = 88,839,249,006.16
  5. Step 5: Solve for x
    x = 88,839,249,006.16/341,456.34
  6. Step 6: Final answer
    x = 260,177.48

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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.