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Finding the Fourth Proportional to 409,859.70, 614,789.55 and 251,574.90

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Solution

The fourth proportional to 409,859.70, 614,789.55 and 251,574.90 is: 377,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,859.70 : 614,789.55 = 251,574.90 : x
  2. Step 2: Convert to fraction form
    409,859.70/614,789.55 = 251,574.90/x
  3. Step 3: Cross multiply
    409,859.70x = 614,789.55 × 251,574.90
  4. Step 4: Simplify right side
    409,859.70x = 154,665,619,562.30
  5. Step 5: Solve for x
    x = 154,665,619,562.30/409,859.70
  6. Step 6: Final answer
    x = 377,362.35

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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.