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Finding the Fourth Proportional to 598,495.88, 897,286.82 and 299,191.26

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Solution

The fourth proportional to 598,495.88, 897,286.82 and 299,191.26 is: 448,558.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,495.88 : 897,286.82 = 299,191.26 : x
  2. Step 2: Convert to fraction form
    598,495.88/897,286.82 = 299,191.26/x
  3. Step 3: Cross multiply
    598,495.88x = 897,286.82 × 299,191.26
  4. Step 4: Simplify right side
    598,495.88x = 268,460,375,005.17
  5. Step 5: Solve for x
    x = 268,460,375,005.17/598,495.88
  6. Step 6: Final answer
    x = 448,558.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.