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Finding the Fourth Proportional to 597,250.25, 824,205.39 and 328,978.25

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Solution

The fourth proportional to 597,250.25, 824,205.39 and 328,978.25 is: 453,990.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,250.25 : 824,205.39 = 328,978.25 : x
  2. Step 2: Convert to fraction form
    597,250.25/824,205.39 = 328,978.25/x
  3. Step 3: Cross multiply
    597,250.25x = 824,205.39 × 328,978.25
  4. Step 4: Simplify right side
    597,250.25x = 271,145,646,842.77
  5. Step 5: Solve for x
    x = 271,145,646,842.77/597,250.25
  6. Step 6: Final answer
    x = 453,990.01

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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.