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Finding the Fourth Proportional to 598,258, 825,596.04 and 329,986

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Solution

The fourth proportional to 598,258, 825,596.04 and 329,986 is: 455,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,258 : 825,596.04 = 329,986 : x
  2. Step 2: Convert to fraction form
    598,258/825,596.04 = 329,986/x
  3. Step 3: Cross multiply
    598,258x = 825,596.04 × 329,986
  4. Step 4: Simplify right side
    598,258x = 272,435,134,855.44
  5. Step 5: Solve for x
    x = 272,435,134,855.44/598,258
  6. Step 6: Final answer
    x = 455,380.68

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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.