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Finding the Fourth Proportional to 305,883.68, 458,825.52 and 199,595.48

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Solution

The fourth proportional to 305,883.68, 458,825.52 and 199,595.48 is: 299,393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,883.68 : 458,825.52 = 199,595.48 : x
  2. Step 2: Convert to fraction form
    305,883.68/458,825.52 = 199,595.48/x
  3. Step 3: Cross multiply
    305,883.68x = 458,825.52 × 199,595.48
  4. Step 4: Simplify right side
    305,883.68x = 91,579,497,606.52
  5. Step 5: Solve for x
    x = 91,579,497,606.52/305,883.68
  6. Step 6: Final answer
    x = 299,393.22

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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.