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Finding the Fourth Proportional to 562,714.11, 842,719.73 and 322,098.75

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Solution

The fourth proportional to 562,714.11, 842,719.73 and 322,098.75 is: 482,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,714.11 : 842,719.73 = 322,098.75 : x
  2. Step 2: Convert to fraction form
    562,714.11/842,719.73 = 322,098.75/x
  3. Step 3: Cross multiply
    562,714.11x = 842,719.73 × 322,098.75
  4. Step 4: Simplify right side
    562,714.11x = 271,438,970,022.84
  5. Step 5: Solve for x
    x = 271,438,970,022.84/562,714.11
  6. Step 6: Final answer
    x = 482,374.56

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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.