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Finding the Fourth Proportional to 667,327.20, 920,928.38 and 409,346.40

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Solution

The fourth proportional to 667,327.20, 920,928.38 and 409,346.40 is: 564,908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,327.20 : 920,928.38 = 409,346.40 : x
  2. Step 2: Convert to fraction form
    667,327.20/920,928.38 = 409,346.40/x
  3. Step 3: Cross multiply
    667,327.20x = 920,928.38 × 409,346.40
  4. Step 4: Simplify right side
    667,327.20x = 376,978,714,964.10
  5. Step 5: Solve for x
    x = 376,978,714,964.10/667,327.20
  6. Step 6: Final answer
    x = 564,908.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.