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Finding the Fourth Proportional to 405,687.54, 559,843.98 and 224,385.24

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Solution

The fourth proportional to 405,687.54, 559,843.98 and 224,385.24 is: 309,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,687.54 : 559,843.98 = 224,385.24 : x
  2. Step 2: Convert to fraction form
    405,687.54/559,843.98 = 224,385.24/x
  3. Step 3: Cross multiply
    405,687.54x = 559,843.98 × 224,385.24
  4. Step 4: Simplify right side
    405,687.54x = 125,620,725,814.86
  5. Step 5: Solve for x
    x = 125,620,725,814.86/405,687.54
  6. Step 6: Final answer
    x = 309,648.96

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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.