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Finding the Fourth Proportional to 305,632.96, 458,447.38 and 166,277.32

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Solution

The fourth proportional to 305,632.96, 458,447.38 and 166,277.32 is: 249,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,632.96 : 458,447.38 = 166,277.32 : x
  2. Step 2: Convert to fraction form
    305,632.96/458,447.38 = 166,277.32/x
  3. Step 3: Cross multiply
    305,632.96x = 458,447.38 × 166,277.32
  4. Step 4: Simplify right side
    305,632.96x = 76,229,401,707.42
  5. Step 5: Solve for x
    x = 76,229,401,707.42/305,632.96
  6. Step 6: Final answer
    x = 249,414.86

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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.