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Finding the Fourth Proportional to 597,764.11, 824,902.16 and 325,829.65

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Solution

The fourth proportional to 597,764.11, 824,902.16 and 325,829.65 is: 449,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,764.11 : 824,902.16 = 325,829.65 : x
  2. Step 2: Convert to fraction form
    597,764.11/824,902.16 = 325,829.65/x
  3. Step 3: Cross multiply
    597,764.11x = 824,902.16 × 325,829.65
  4. Step 4: Simplify right side
    597,764.11x = 268,777,582,077.04
  5. Step 5: Solve for x
    x = 268,777,582,077.04/597,764.11
  6. Step 6: Final answer
    x = 449,638.21

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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.