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Finding the Fourth Proportional to 418,634.82, 577,764.81 and 234,924.03

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Solution

The fourth proportional to 418,634.82, 577,764.81 and 234,924.03 is: 324,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,634.82 : 577,764.81 = 234,924.03 : x
  2. Step 2: Convert to fraction form
    418,634.82/577,764.81 = 234,924.03/x
  3. Step 3: Cross multiply
    418,634.82x = 577,764.81 × 234,924.03
  4. Step 4: Simplify right side
    418,634.82x = 135,730,837,557.38
  5. Step 5: Solve for x
    x = 135,730,837,557.38/418,634.82
  6. Step 6: Final answer
    x = 324,222.52

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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.