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Finding the Fourth Proportional to 482,748.92, 666,322.66 and 301,351.56

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Solution

The fourth proportional to 482,748.92, 666,322.66 and 301,351.56 is: 415,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,748.92 : 666,322.66 = 301,351.56 : x
  2. Step 2: Convert to fraction form
    482,748.92/666,322.66 = 301,351.56/x
  3. Step 3: Cross multiply
    482,748.92x = 666,322.66 × 301,351.56
  4. Step 4: Simplify right side
    482,748.92x = 200,797,373,054.35
  5. Step 5: Solve for x
    x = 200,797,373,054.35/482,748.92
  6. Step 6: Final answer
    x = 415,945.77

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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.