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Finding the Fourth Proportional to 597,329.28, 824,314.05 and 329,057.28

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Solution

The fourth proportional to 597,329.28, 824,314.05 and 329,057.28 is: 454,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,329.28 : 824,314.05 = 329,057.28 : x
  2. Step 2: Convert to fraction form
    597,329.28/824,314.05 = 329,057.28/x
  3. Step 3: Cross multiply
    597,329.28x = 824,314.05 × 329,057.28
  4. Step 4: Simplify right side
    597,329.28x = 271,246,539,158.78
  5. Step 5: Solve for x
    x = 271,246,539,158.78/597,329.28
  6. Step 6: Final answer
    x = 454,098.85

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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.