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Finding the Fourth Proportional to 598,046.98, 825,292.64 and 329,774.98

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Solution

The fourth proportional to 598,046.98, 825,292.64 and 329,774.98 is: 455,082.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,046.98 : 825,292.64 = 329,774.98 : x
  2. Step 2: Convert to fraction form
    598,046.98/825,292.64 = 329,774.98/x
  3. Step 3: Cross multiply
    598,046.98x = 825,292.64 × 329,774.98
  4. Step 4: Simplify right side
    598,046.98x = 272,160,863,850.15
  5. Step 5: Solve for x
    x = 272,160,863,850.15/598,046.98
  6. Step 6: Final answer
    x = 455,082.75

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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.