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Finding the Fourth Proportional to 641,714.52, 885,178.62 and 412,194.54

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Solution

The fourth proportional to 641,714.52, 885,178.62 and 412,194.54 is: 568,579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,714.52 : 885,178.62 = 412,194.54 : x
  2. Step 2: Convert to fraction form
    641,714.52/885,178.62 = 412,194.54/x
  3. Step 3: Cross multiply
    641,714.52x = 885,178.62 × 412,194.54
  4. Step 4: Simplify right side
    641,714.52x = 364,865,794,088.74
  5. Step 5: Solve for x
    x = 364,865,794,088.74/641,714.52
  6. Step 6: Final answer
    x = 568,579.61

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1.5x scale

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.