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Finding the Fourth Proportional to 562,251, 843,377.31 and 229,827

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Solution

The fourth proportional to 562,251, 843,377.31 and 229,827 is: 344,740.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,251 : 843,377.31 = 229,827 : x
  2. Step 2: Convert to fraction form
    562,251/843,377.31 = 229,827/x
  3. Step 3: Cross multiply
    562,251x = 843,377.31 × 229,827
  4. Step 4: Simplify right side
    562,251x = 193,830,877,025.37
  5. Step 5: Solve for x
    x = 193,830,877,025.37/562,251
  6. Step 6: Final answer
    x = 344,740.83

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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.