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Finding the Fourth Proportional to 360,964.50, 541,446.75 and 98,308.50

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Solution

The fourth proportional to 360,964.50, 541,446.75 and 98,308.50 is: 147,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,964.50 : 541,446.75 = 98,308.50 : x
  2. Step 2: Convert to fraction form
    360,964.50/541,446.75 = 98,308.50/x
  3. Step 3: Cross multiply
    360,964.50x = 541,446.75 × 98,308.50
  4. Step 4: Simplify right side
    360,964.50x = 53,228,817,822.38
  5. Step 5: Solve for x
    x = 53,228,817,822.38/360,964.50
  6. Step 6: Final answer
    x = 147,462.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.