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Finding the Fourth Proportional to 414,481.52, 621,656.04 and 148,192.40

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Solution

The fourth proportional to 414,481.52, 621,656.04 and 148,192.40 is: 222,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,481.52 : 621,656.04 = 148,192.40 : x
  2. Step 2: Convert to fraction form
    414,481.52/621,656.04 = 148,192.40/x
  3. Step 3: Cross multiply
    414,481.52x = 621,656.04 × 148,192.40
  4. Step 4: Simplify right side
    414,481.52x = 92,124,700,542.10
  5. Step 5: Solve for x
    x = 92,124,700,542.10/414,481.52
  6. Step 6: Final answer
    x = 222,264.92

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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.