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Finding the Fourth Proportional to 598,283.44, 825,646.72 and 326,355.92

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Solution

The fourth proportional to 598,283.44, 825,646.72 and 326,355.92 is: 450,379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,283.44 : 825,646.72 = 326,355.92 : x
  2. Step 2: Convert to fraction form
    598,283.44/825,646.72 = 326,355.92/x
  3. Step 3: Cross multiply
    598,283.44x = 825,646.72 × 326,355.92
  4. Step 4: Simplify right side
    598,283.44x = 269,454,694,900.58
  5. Step 5: Solve for x
    x = 269,454,694,900.58/598,283.44
  6. Step 6: Final answer
    x = 450,379.66

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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.