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Finding the Fourth Proportional to 597,793.25, 824,938.17 and 325,866.42

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Solution

The fourth proportional to 597,793.25, 824,938.17 and 325,866.42 is: 449,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,793.25 : 824,938.17 = 325,866.42 : x
  2. Step 2: Convert to fraction form
    597,793.25/824,938.17 = 325,866.42/x
  3. Step 3: Cross multiply
    597,793.25x = 824,938.17 × 325,866.42
  4. Step 4: Simplify right side
    597,793.25x = 268,819,648,179.25
  5. Step 5: Solve for x
    x = 268,819,648,179.25/597,793.25
  6. Step 6: Final answer
    x = 449,686.66

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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.