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Finding the Fourth Proportional to 455,154.14, 682,160.32 and 241,394.46

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Solution

The fourth proportional to 455,154.14, 682,160.32 and 241,394.46 is: 361,788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,154.14 : 682,160.32 = 241,394.46 : x
  2. Step 2: Convert to fraction form
    455,154.14/682,160.32 = 241,394.46/x
  3. Step 3: Cross multiply
    455,154.14x = 682,160.32 × 241,394.46
  4. Step 4: Simplify right side
    455,154.14x = 164,669,722,079.83
  5. Step 5: Solve for x
    x = 164,669,722,079.83/455,154.14
  6. Step 6: Final answer
    x = 361,788.91

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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.