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Finding the Fourth Proportional to 298,013.28, 411,258.30 and 163,877.28

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Solution

The fourth proportional to 298,013.28, 411,258.30 and 163,877.28 is: 226,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,013.28 : 411,258.30 = 163,877.28 : x
  2. Step 2: Convert to fraction form
    298,013.28/411,258.30 = 163,877.28/x
  3. Step 3: Cross multiply
    298,013.28x = 411,258.30 × 163,877.28
  4. Step 4: Simplify right side
    298,013.28x = 67,395,891,581.42
  5. Step 5: Solve for x
    x = 67,395,891,581.42/298,013.28
  6. Step 6: Final answer
    x = 226,150.63

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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.