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Finding the Fourth Proportional to 562,734.33, 843,838.77 and 202,857.78

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Solution

The fourth proportional to 562,734.33, 843,838.77 and 202,857.78 is: 304,191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,734.33 : 843,838.77 = 202,857.78 : x
  2. Step 2: Convert to fraction form
    562,734.33/843,838.77 = 202,857.78/x
  3. Step 3: Cross multiply
    562,734.33x = 843,838.77 × 202,857.78
  4. Step 4: Simplify right side
    562,734.33x = 171,179,261,963.81
  5. Step 5: Solve for x
    x = 171,179,261,963.81/562,734.33
  6. Step 6: Final answer
    x = 304,191.97

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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.