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Finding the Fourth Proportional to 414,340.64, 621,530.40 and 148,227.20

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Solution

The fourth proportional to 414,340.64, 621,530.40 and 148,227.20 is: 222,347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,340.64 : 621,530.40 = 148,227.20 : x
  2. Step 2: Convert to fraction form
    414,340.64/621,530.40 = 148,227.20/x
  3. Step 3: Cross multiply
    414,340.64x = 621,530.40 × 148,227.20
  4. Step 4: Simplify right side
    414,340.64x = 92,127,710,906.88
  5. Step 5: Solve for x
    x = 92,127,710,906.88/414,340.64
  6. Step 6: Final answer
    x = 222,347.75

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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.