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Finding the Fourth Proportional to 305,775.76, 458,135.52 and 165,632.80

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Solution

The fourth proportional to 305,775.76, 458,135.52 and 165,632.80 is: 248,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,775.76 : 458,135.52 = 165,632.80 : x
  2. Step 2: Convert to fraction form
    305,775.76/458,135.52 = 165,632.80/x
  3. Step 3: Cross multiply
    305,775.76x = 458,135.52 × 165,632.80
  4. Step 4: Simplify right side
    305,775.76x = 75,882,268,957.06
  5. Step 5: Solve for x
    x = 75,882,268,957.06/305,775.76
  6. Step 6: Final answer
    x = 248,163.13

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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.