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Finding the Fourth Proportional to 454,908.24, 627,647.40 and 293,770.08

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Solution

The fourth proportional to 454,908.24, 627,647.40 and 293,770.08 is: 405,321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,908.24 : 627,647.40 = 293,770.08 : x
  2. Step 2: Convert to fraction form
    454,908.24/627,647.40 = 293,770.08/x
  3. Step 3: Cross multiply
    454,908.24x = 627,647.40 × 293,770.08
  4. Step 4: Simplify right side
    454,908.24x = 184,384,026,909.79
  5. Step 5: Solve for x
    x = 184,384,026,909.79/454,908.24
  6. Step 6: Final answer
    x = 405,321.36

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Why These Related Problems?

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