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Finding the Fourth Proportional to 341,496.34, 471,424.41 and 198,228.81

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Solution

The fourth proportional to 341,496.34, 471,424.41 and 198,228.81 is: 273,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,496.34 : 471,424.41 = 198,228.81 : x
  2. Step 2: Convert to fraction form
    341,496.34/471,424.41 = 198,228.81/x
  3. Step 3: Cross multiply
    341,496.34x = 471,424.41 × 198,228.81
  4. Step 4: Simplify right side
    341,496.34x = 93,449,897,442.13
  5. Step 5: Solve for x
    x = 93,449,897,442.13/341,496.34
  6. Step 6: Final answer
    x = 273,648.31

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