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Finding the Fourth Proportional to 305,532.90, 458,022.30 and 165,127.50

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Solution

The fourth proportional to 305,532.90, 458,022.30 and 165,127.50 is: 247,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,532.90 : 458,022.30 = 165,127.50 : x
  2. Step 2: Convert to fraction form
    305,532.90/458,022.30 = 165,127.50/x
  3. Step 3: Cross multiply
    305,532.90x = 458,022.30 × 165,127.50
  4. Step 4: Simplify right side
    305,532.90x = 75,632,077,343.25
  5. Step 5: Solve for x
    x = 75,632,077,343.25/305,532.90
  6. Step 6: Final answer
    x = 247,541.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.