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Finding the Fourth Proportional to 417,851.25, 627,025.94 and 151,632.54

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Solution

The fourth proportional to 417,851.25, 627,025.94 and 151,632.54 is: 227,539.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,851.25 : 627,025.94 = 151,632.54 : x
  2. Step 2: Convert to fraction form
    417,851.25/627,025.94 = 151,632.54/x
  3. Step 3: Cross multiply
    417,851.25x = 627,025.94 × 151,632.54
  4. Step 4: Simplify right side
    417,851.25x = 95,077,535,169.92
  5. Step 5: Solve for x
    x = 95,077,535,169.92/417,851.25
  6. Step 6: Final answer
    x = 227,539.19

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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.