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Finding the Fourth Proportional to 414,166.52, 621,250.60 and 114,647.96

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Solution

The fourth proportional to 414,166.52, 621,250.60 and 114,647.96 is: 171,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,166.52 : 621,250.60 = 114,647.96 : x
  2. Step 2: Convert to fraction form
    414,166.52/621,250.60 = 114,647.96/x
  3. Step 3: Cross multiply
    414,166.52x = 621,250.60 × 114,647.96
  4. Step 4: Simplify right side
    414,166.52x = 71,225,113,938.78
  5. Step 5: Solve for x
    x = 71,225,113,938.78/414,166.52
  6. Step 6: Final answer
    x = 171,972.17

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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.