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Finding the Fourth Proportional to 405,714.80, 608,514.60 and 125,260.40

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Solution

The fourth proportional to 405,714.80, 608,514.60 and 125,260.40 is: 187,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,714.80 : 608,514.60 = 125,260.40 : x
  2. Step 2: Convert to fraction form
    405,714.80/608,514.60 = 125,260.40/x
  3. Step 3: Cross multiply
    405,714.80x = 608,514.60 × 125,260.40
  4. Step 4: Simplify right side
    405,714.80x = 76,222,782,201.84
  5. Step 5: Solve for x
    x = 76,222,782,201.84/405,714.80
  6. Step 6: Final answer
    x = 187,872.82

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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.