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Finding the Fourth Proportional to 414,538.80, 621,808.20 and 148,320.16

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Solution

The fourth proportional to 414,538.80, 621,808.20 and 148,320.16 is: 222,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,538.80 : 621,808.20 = 148,320.16 : x
  2. Step 2: Convert to fraction form
    414,538.80/621,808.20 = 148,320.16/x
  3. Step 3: Cross multiply
    414,538.80x = 621,808.20 × 148,320.16
  4. Step 4: Simplify right side
    414,538.80x = 92,226,691,713.31
  5. Step 5: Solve for x
    x = 92,226,691,713.31/414,538.80
  6. Step 6: Final answer
    x = 222,480.24

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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.