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Finding the Fourth Proportional to 338,257.22, 507,409.47 and 135,853.34

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Solution

The fourth proportional to 338,257.22, 507,409.47 and 135,853.34 is: 203,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,257.22 : 507,409.47 = 135,853.34 : x
  2. Step 2: Convert to fraction form
    338,257.22/507,409.47 = 135,853.34/x
  3. Step 3: Cross multiply
    338,257.22x = 507,409.47 × 135,853.34
  4. Step 4: Simplify right side
    338,257.22x = 68,933,271,247.13
  5. Step 5: Solve for x
    x = 68,933,271,247.13/338,257.22
  6. Step 6: Final answer
    x = 203,789.50

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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.