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Finding the Fourth Proportional to 597,209.52, 824,149.16 and 328,937.52

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Solution

The fourth proportional to 597,209.52, 824,149.16 and 328,937.52 is: 453,933.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,209.52 : 824,149.16 = 328,937.52 : x
  2. Step 2: Convert to fraction form
    597,209.52/824,149.16 = 328,937.52/x
  3. Step 3: Cross multiply
    597,209.52x = 824,149.16 × 328,937.52
  4. Step 4: Simplify right side
    597,209.52x = 271,093,580,800.48
  5. Step 5: Solve for x
    x = 271,093,580,800.48/597,209.52
  6. Step 6: Final answer
    x = 453,933.79

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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.