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Finding the Fourth Proportional to 338,258.30, 466,474.34 and 202,270.10

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Solution

The fourth proportional to 338,258.30, 466,474.34 and 202,270.10 is: 278,940.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,258.30 : 466,474.34 = 202,270.10 : x
  2. Step 2: Convert to fraction form
    338,258.30/466,474.34 = 202,270.10/x
  3. Step 3: Cross multiply
    338,258.30x = 466,474.34 × 202,270.10
  4. Step 4: Simplify right side
    338,258.30x = 94,353,809,572.54
  5. Step 5: Solve for x
    x = 94,353,809,572.54/338,258.30
  6. Step 6: Final answer
    x = 278,940.12

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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.