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Finding the Fourth Proportional to 580,289.58, 800,857.17 and 325,641.78

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Solution

The fourth proportional to 580,289.58, 800,857.17 and 325,641.78 is: 449,417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,289.58 : 800,857.17 = 325,641.78 : x
  2. Step 2: Convert to fraction form
    580,289.58/800,857.17 = 325,641.78/x
  3. Step 3: Cross multiply
    580,289.58x = 800,857.17 × 325,641.78
  4. Step 4: Simplify right side
    580,289.58x = 260,792,554,364.56
  5. Step 5: Solve for x
    x = 260,792,554,364.56/580,289.58
  6. Step 6: Final answer
    x = 449,417.95

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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.