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Finding the Fourth Proportional to 562,120.32, 843,181.92 and 229,696.32

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Solution

The fourth proportional to 562,120.32, 843,181.92 and 229,696.32 is: 344,545.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,120.32 : 843,181.92 = 229,696.32 : x
  2. Step 2: Convert to fraction form
    562,120.32/843,181.92 = 229,696.32/x
  3. Step 3: Cross multiply
    562,120.32x = 843,181.92 × 229,696.32
  4. Step 4: Simplify right side
    562,120.32x = 193,675,784,114.53
  5. Step 5: Solve for x
    x = 193,675,784,114.53/562,120.32
  6. Step 6: Final answer
    x = 344,545.07

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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.