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Finding the Fourth Proportional to 332,659.56, 498,973.14 and 122,284.20

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Solution

The fourth proportional to 332,659.56, 498,973.14 and 122,284.20 is: 183,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,659.56 : 498,973.14 = 122,284.20 : x
  2. Step 2: Convert to fraction form
    332,659.56/498,973.14 = 122,284.20/x
  3. Step 3: Cross multiply
    332,659.56x = 498,973.14 × 122,284.20
  4. Step 4: Simplify right side
    332,659.56x = 61,016,531,246.39
  5. Step 5: Solve for x
    x = 61,016,531,246.39/332,659.56
  6. Step 6: Final answer
    x = 183,420.34

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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.