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Finding the Fourth Proportional to 415,674.37, 573,633.26 and 224,687.31

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Solution

The fourth proportional to 415,674.37, 573,633.26 and 224,687.31 is: 310,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,674.37 : 573,633.26 = 224,687.31 : x
  2. Step 2: Convert to fraction form
    415,674.37/573,633.26 = 224,687.31/x
  3. Step 3: Cross multiply
    415,674.37x = 573,633.26 × 224,687.31
  4. Step 4: Simplify right side
    415,674.37x = 128,888,114,115.93
  5. Step 5: Solve for x
    x = 128,888,114,115.93/415,674.37
  6. Step 6: Final answer
    x = 310,069.91

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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.