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Finding the Fourth Proportional to 562,252, 843,378.81 and 229,828

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Solution

The fourth proportional to 562,252, 843,378.81 and 229,828 is: 344,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,252 : 843,378.81 = 229,828 : x
  2. Step 2: Convert to fraction form
    562,252/843,378.81 = 229,828/x
  3. Step 3: Cross multiply
    562,252x = 843,378.81 × 229,828
  4. Step 4: Simplify right side
    562,252x = 193,832,065,144.68
  5. Step 5: Solve for x
    x = 193,832,065,144.68/562,252
  6. Step 6: Final answer
    x = 344,742.33

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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.