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Finding the Fourth Proportional to 483,965.78, 725,294.73 and 184,282.88

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Solution

The fourth proportional to 483,965.78, 725,294.73 and 184,282.88 is: 276,175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,965.78 : 725,294.73 = 184,282.88 : x
  2. Step 2: Convert to fraction form
    483,965.78/725,294.73 = 184,282.88/x
  3. Step 3: Cross multiply
    483,965.78x = 725,294.73 × 184,282.88
  4. Step 4: Simplify right side
    483,965.78x = 133,659,398,066.75
  5. Step 5: Solve for x
    x = 133,659,398,066.75/483,965.78
  6. Step 6: Final answer
    x = 276,175.31

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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.