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Finding the Fourth Proportional to 562,249, 843,374.31 and 229,825

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Solution

The fourth proportional to 562,249, 843,374.31 and 229,825 is: 344,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,249 : 843,374.31 = 229,825 : x
  2. Step 2: Convert to fraction form
    562,249/843,374.31 = 229,825/x
  3. Step 3: Cross multiply
    562,249x = 843,374.31 × 229,825
  4. Step 4: Simplify right side
    562,249x = 193,828,500,795.75
  5. Step 5: Solve for x
    x = 193,828,500,795.75/562,249
  6. Step 6: Final answer
    x = 344,737.83

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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.