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Finding the Fourth Proportional to 341,970.12, 471,976.18 and 231,538.68

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Solution

The fourth proportional to 341,970.12, 471,976.18 and 231,538.68 is: 319,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,970.12 : 471,976.18 = 231,538.68 : x
  2. Step 2: Convert to fraction form
    341,970.12/471,976.18 = 231,538.68/x
  3. Step 3: Cross multiply
    341,970.12x = 471,976.18 × 231,538.68
  4. Step 4: Simplify right side
    341,970.12x = 109,280,741,129.80
  5. Step 5: Solve for x
    x = 109,280,741,129.80/341,970.12
  6. Step 6: Final answer
    x = 319,562.25

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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.