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Finding the Fourth Proportional to 299,352.32, 413,102.40 and 165,207.68

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Solution

The fourth proportional to 299,352.32, 413,102.40 and 165,207.68 is: 227,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,352.32 : 413,102.40 = 165,207.68 : x
  2. Step 2: Convert to fraction form
    299,352.32/413,102.40 = 165,207.68/x
  3. Step 3: Cross multiply
    299,352.32x = 413,102.40 × 165,207.68
  4. Step 4: Simplify right side
    299,352.32x = 68,247,689,106.43
  5. Step 5: Solve for x
    x = 68,247,689,106.43/299,352.32
  6. Step 6: Final answer
    x = 227,984.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.