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Finding the Fourth Proportional to 597,793.75, 824,938.86 and 325,866.92

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Solution

The fourth proportional to 597,793.75, 824,938.86 and 325,866.92 is: 449,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,793.75 : 824,938.86 = 325,866.92 : x
  2. Step 2: Convert to fraction form
    597,793.75/824,938.86 = 325,866.92/x
  3. Step 3: Cross multiply
    597,793.75x = 824,938.86 × 325,866.92
  4. Step 4: Simplify right side
    597,793.75x = 268,820,285,496.51
  5. Step 5: Solve for x
    x = 268,820,285,496.51/597,793.75
  6. Step 6: Final answer
    x = 449,687.35

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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.