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Finding the Fourth Proportional to 305,465.81, 458,050.75 and 179,147.42

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Solution

The fourth proportional to 305,465.81, 458,050.75 and 179,147.42 is: 268,634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,465.81 : 458,050.75 = 179,147.42 : x
  2. Step 2: Convert to fraction form
    305,465.81/458,050.75 = 179,147.42/x
  3. Step 3: Cross multiply
    305,465.81x = 458,050.75 × 179,147.42
  4. Step 4: Simplify right side
    305,465.81x = 82,058,610,359.40
  5. Step 5: Solve for x
    x = 82,058,610,359.40/305,465.81
  6. Step 6: Final answer
    x = 268,634.36

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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.