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Finding the Fourth Proportional to 597,544, 824,628 and 329,289.28

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Solution

The fourth proportional to 597,544, 824,628 and 329,289.28 is: 454,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,544 : 824,628 = 329,289.28 : x
  2. Step 2: Convert to fraction form
    597,544/824,628 = 329,289.28/x
  3. Step 3: Cross multiply
    597,544x = 824,628 × 329,289.28
  4. Step 4: Simplify right side
    597,544x = 271,541,160,387.84
  5. Step 5: Solve for x
    x = 271,541,160,387.84/597,544
  6. Step 6: Final answer
    x = 454,428.73

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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.