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Finding the Fourth Proportional to 597,625.38, 824,723.02 and 329,353.38

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Solution

The fourth proportional to 597,625.38, 824,723.02 and 329,353.38 is: 454,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,625.38 : 824,723.02 = 329,353.38 : x
  2. Step 2: Convert to fraction form
    597,625.38/824,723.02 = 329,353.38/x
  3. Step 3: Cross multiply
    597,625.38x = 824,723.02 × 329,353.38
  4. Step 4: Simplify right side
    597,625.38x = 271,625,314,200.81
  5. Step 5: Solve for x
    x = 271,625,314,200.81/597,625.38
  6. Step 6: Final answer
    x = 454,507.66

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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.