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Finding the Fourth Proportional to 415,826.76, 573,841.26 and 224,840.28

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Solution

The fourth proportional to 415,826.76, 573,841.26 and 224,840.28 is: 310,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,826.76 : 573,841.26 = 224,840.28 : x
  2. Step 2: Convert to fraction form
    415,826.76/573,841.26 = 224,840.28/x
  3. Step 3: Cross multiply
    415,826.76x = 573,841.26 × 224,840.28
  4. Step 4: Simplify right side
    415,826.76x = 129,022,629,573.95
  5. Step 5: Solve for x
    x = 129,022,629,573.95/415,826.76
  6. Step 6: Final answer
    x = 310,279.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.