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Finding the Fourth Proportional to 417,866.25, 627,048.44 and 151,647.57

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Solution

The fourth proportional to 417,866.25, 627,048.44 and 151,647.57 is: 227,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,866.25 : 627,048.44 = 151,647.57 : x
  2. Step 2: Convert to fraction form
    417,866.25/627,048.44 = 151,647.57/x
  3. Step 3: Cross multiply
    417,866.25x = 627,048.44 × 151,647.57
  4. Step 4: Simplify right side
    417,866.25x = 95,090,371,440.05
  5. Step 5: Solve for x
    x = 95,090,371,440.05/417,866.25
  6. Step 6: Final answer
    x = 227,561.74

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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.