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Finding the Fourth Proportional to 415,879.23, 573,914.70 and 224,893.98

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Solution

The fourth proportional to 415,879.23, 573,914.70 and 224,893.98 is: 310,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,879.23 : 573,914.70 = 224,893.98 : x
  2. Step 2: Convert to fraction form
    415,879.23/573,914.70 = 224,893.98/x
  3. Step 3: Cross multiply
    415,879.23x = 573,914.70 × 224,893.98
  4. Step 4: Simplify right side
    415,879.23x = 129,069,961,063.51
  5. Step 5: Solve for x
    x = 129,069,961,063.51/415,879.23
  6. Step 6: Final answer
    x = 310,354.43

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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.