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Finding the Fourth Proportional to 288,583.36, 398,244.40 and 161,258.95

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Solution

The fourth proportional to 288,583.36, 398,244.40 and 161,258.95 is: 222,537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,583.36 : 398,244.40 = 161,258.95 : x
  2. Step 2: Convert to fraction form
    288,583.36/398,244.40 = 161,258.95/x
  3. Step 3: Cross multiply
    288,583.36x = 398,244.40 × 161,258.95
  4. Step 4: Simplify right side
    288,583.36x = 64,220,473,787.38
  5. Step 5: Solve for x
    x = 64,220,473,787.38/288,583.36
  6. Step 6: Final answer
    x = 222,537.00

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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.