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Finding the Fourth Proportional to 600,980.32, 829,321.32 and 328,996.09

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Solution

The fourth proportional to 600,980.32, 829,321.32 and 328,996.09 is: 453,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,980.32 : 829,321.32 = 328,996.09 : x
  2. Step 2: Convert to fraction form
    600,980.32/829,321.32 = 328,996.09/x
  3. Step 3: Cross multiply
    600,980.32x = 829,321.32 × 328,996.09
  4. Step 4: Simplify right side
    600,980.32x = 272,843,471,633.64
  5. Step 5: Solve for x
    x = 272,843,471,633.64/600,980.32
  6. Step 6: Final answer
    x = 453,997.35

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