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Finding the Fourth Proportional to 414,097.40, 621,000.30 and 147,866.60

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Solution

The fourth proportional to 414,097.40, 621,000.30 and 147,866.60 is: 221,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,097.40 : 621,000.30 = 147,866.60 : x
  2. Step 2: Convert to fraction form
    414,097.40/621,000.30 = 147,866.60/x
  3. Step 3: Cross multiply
    414,097.40x = 621,000.30 × 147,866.60
  4. Step 4: Simplify right side
    414,097.40x = 91,825,202,959.98
  5. Step 5: Solve for x
    x = 91,825,202,959.98/414,097.40
  6. Step 6: Final answer
    x = 221,747.84

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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.