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Finding the Fourth Proportional to 597,243.38, 824,195.86 and 328,971.38

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Solution

The fourth proportional to 597,243.38, 824,195.86 and 328,971.38 is: 453,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,243.38 : 824,195.86 = 328,971.38 : x
  2. Step 2: Convert to fraction form
    597,243.38/824,195.86 = 328,971.38/x
  3. Step 3: Cross multiply
    597,243.38x = 824,195.86 × 328,971.38
  4. Step 4: Simplify right side
    597,243.38x = 271,136,844,511.08
  5. Step 5: Solve for x
    x = 271,136,844,511.08/597,243.38
  6. Step 6: Final answer
    x = 453,980.50

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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.