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Finding the Fourth Proportional to 299,536.08, 413,351.88 and 165,397.20

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Solution

The fourth proportional to 299,536.08, 413,351.88 and 165,397.20 is: 228,243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,536.08 : 413,351.88 = 165,397.20 : x
  2. Step 2: Convert to fraction form
    299,536.08/413,351.88 = 165,397.20/x
  3. Step 3: Cross multiply
    299,536.08x = 413,351.88 × 165,397.20
  4. Step 4: Simplify right side
    299,536.08x = 68,367,243,566.74
  5. Step 5: Solve for x
    x = 68,367,243,566.74/299,536.08
  6. Step 6: Final answer
    x = 228,243.77

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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.