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Finding the Fourth Proportional to 414,146.50, 621,233.64 and 114,602.02

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Solution

The fourth proportional to 414,146.50, 621,233.64 and 114,602.02 is: 171,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,146.50 : 621,233.64 = 114,602.02 : x
  2. Step 2: Convert to fraction form
    414,146.50/621,233.64 = 114,602.02/x
  3. Step 3: Cross multiply
    414,146.50x = 621,233.64 × 114,602.02
  4. Step 4: Simplify right side
    414,146.50x = 71,194,630,035.95
  5. Step 5: Solve for x
    x = 71,194,630,035.95/414,146.50
  6. Step 6: Final answer
    x = 171,906.87

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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.