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Finding the Fourth Proportional to 340,102.20, 509,570.10 and 221,712.60

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Solution

The fourth proportional to 340,102.20, 509,570.10 and 221,712.60 is: 332,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,102.20 : 509,570.10 = 221,712.60 : x
  2. Step 2: Convert to fraction form
    340,102.20/509,570.10 = 221,712.60/x
  3. Step 3: Cross multiply
    340,102.20x = 509,570.10 × 221,712.60
  4. Step 4: Simplify right side
    340,102.20x = 112,978,111,753.26
  5. Step 5: Solve for x
    x = 112,978,111,753.26/340,102.20
  6. Step 6: Final answer
    x = 332,188.71

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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.