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Finding the Fourth Proportional to 619,238.64, 929,120.96 and 338,427.84

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Solution

The fourth proportional to 619,238.64, 929,120.96 and 338,427.84 is: 507,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,238.64 : 929,120.96 = 338,427.84 : x
  2. Step 2: Convert to fraction form
    619,238.64/929,120.96 = 338,427.84/x
  3. Step 3: Cross multiply
    619,238.64x = 929,120.96 × 338,427.84
  4. Step 4: Simplify right side
    619,238.64x = 314,440,399,591.53
  5. Step 5: Solve for x
    x = 314,440,399,591.53/619,238.64
  6. Step 6: Final answer
    x = 507,785.50

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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.