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Finding the Fourth Proportional to 341,422.56, 471,322.44 and 198,154.80

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Solution

The fourth proportional to 341,422.56, 471,322.44 and 198,154.80 is: 273,546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,422.56 : 471,322.44 = 198,154.80 : x
  2. Step 2: Convert to fraction form
    341,422.56/471,322.44 = 198,154.80/x
  3. Step 3: Cross multiply
    341,422.56x = 471,322.44 × 198,154.80
  4. Step 4: Simplify right side
    341,422.56x = 93,394,803,833.71
  5. Step 5: Solve for x
    x = 93,394,803,833.71/341,422.56
  6. Step 6: Final answer
    x = 273,546.08

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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.