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Finding the Fourth Proportional to 409,863.60, 614,795.40 and 276,019.20

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Solution

The fourth proportional to 409,863.60, 614,795.40 and 276,019.20 is: 414,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,863.60 : 614,795.40 = 276,019.20 : x
  2. Step 2: Convert to fraction form
    409,863.60/614,795.40 = 276,019.20/x
  3. Step 3: Cross multiply
    409,863.60x = 614,795.40 × 276,019.20
  4. Step 4: Simplify right side
    409,863.60x = 169,695,334,471.68
  5. Step 5: Solve for x
    x = 169,695,334,471.68/409,863.60
  6. Step 6: Final answer
    x = 414,028.80

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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.