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Finding the Fourth Proportional to 598,262.64, 825,605.01 and 326,336.46

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Solution

The fourth proportional to 598,262.64, 825,605.01 and 326,336.46 is: 450,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,262.64 : 825,605.01 = 326,336.46 : x
  2. Step 2: Convert to fraction form
    598,262.64/825,605.01 = 326,336.46/x
  3. Step 3: Cross multiply
    598,262.64x = 825,605.01 × 326,336.46
  4. Step 4: Simplify right side
    598,262.64x = 269,425,016,321.67
  5. Step 5: Solve for x
    x = 269,425,016,321.67/598,262.64
  6. Step 6: Final answer
    x = 450,345.71

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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.