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Finding the Fourth Proportional to 484,927.50, 727,374.24 and 147,954.54

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Solution

The fourth proportional to 484,927.50, 727,374.24 and 147,954.54 is: 221,926.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,927.50 : 727,374.24 = 147,954.54 : x
  2. Step 2: Convert to fraction form
    484,927.50/727,374.24 = 147,954.54/x
  3. Step 3: Cross multiply
    484,927.50x = 727,374.24 × 147,954.54
  4. Step 4: Simplify right side
    484,927.50x = 107,618,321,087.05
  5. Step 5: Solve for x
    x = 107,618,321,087.05/484,927.50
  6. Step 6: Final answer
    x = 221,926.62

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Why These Related Problems?

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