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Finding the Fourth Proportional to 409,058.44, 613,654.14 and 120,899.32

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Solution

The fourth proportional to 409,058.44, 613,654.14 and 120,899.32 is: 181,368.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,058.44 : 613,654.14 = 120,899.32 : x
  2. Step 2: Convert to fraction form
    409,058.44/613,654.14 = 120,899.32/x
  3. Step 3: Cross multiply
    409,058.44x = 613,654.14 × 120,899.32
  4. Step 4: Simplify right side
    409,058.44x = 74,190,367,160.42
  5. Step 5: Solve for x
    x = 74,190,367,160.42/409,058.44
  6. Step 6: Final answer
    x = 181,368.63

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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.