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Finding the Fourth Proportional to 492,197.50, 679,233.01 and 265,843

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Solution

The fourth proportional to 492,197.50, 679,233.01 and 265,843 is: 366,863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,197.50 : 679,233.01 = 265,843 : x
  2. Step 2: Convert to fraction form
    492,197.50/679,233.01 = 265,843/x
  3. Step 3: Cross multiply
    492,197.50x = 679,233.01 × 265,843
  4. Step 4: Simplify right side
    492,197.50x = 180,569,341,077.43
  5. Step 5: Solve for x
    x = 180,569,341,077.43/492,197.50
  6. Step 6: Final answer
    x = 366,863.59

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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.