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Finding the Fourth Proportional to 341,514.87, 471,288.30 and 188,562.60

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Solution

The fourth proportional to 341,514.87, 471,288.30 and 188,562.60 is: 260,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,514.87 : 471,288.30 = 188,562.60 : x
  2. Step 2: Convert to fraction form
    341,514.87/471,288.30 = 188,562.60/x
  3. Step 3: Cross multiply
    341,514.87x = 471,288.30 × 188,562.60
  4. Step 4: Simplify right side
    341,514.87x = 88,867,347,197.58
  5. Step 5: Solve for x
    x = 88,867,347,197.58/341,514.87
  6. Step 6: Final answer
    x = 260,215.16

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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.