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Finding the Fourth Proportional to 597,329.84, 824,314.83 and 329,057.84

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Solution

The fourth proportional to 597,329.84, 824,314.83 and 329,057.84 is: 454,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,329.84 : 824,314.83 = 329,057.84 : x
  2. Step 2: Convert to fraction form
    597,329.84/824,314.83 = 329,057.84/x
  3. Step 3: Cross multiply
    597,329.84x = 824,314.83 × 329,057.84
  4. Step 4: Simplify right side
    597,329.84x = 271,247,258,266.59
  5. Step 5: Solve for x
    x = 271,247,258,266.59/597,329.84
  6. Step 6: Final answer
    x = 454,099.63

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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.