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Finding the Fourth Proportional to 407,806.31, 562,929.65 and 271,790.62

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Solution

The fourth proportional to 407,806.31, 562,929.65 and 271,790.62 is: 375,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,806.31 : 562,929.65 = 271,790.62 : x
  2. Step 2: Convert to fraction form
    407,806.31/562,929.65 = 271,790.62/x
  3. Step 3: Cross multiply
    407,806.31x = 562,929.65 × 271,790.62
  4. Step 4: Simplify right side
    407,806.31x = 152,998,998,589.88
  5. Step 5: Solve for x
    x = 152,998,998,589.88/407,806.31
  6. Step 6: Final answer
    x = 375,175.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.