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Finding the Fourth Proportional to 415,749.66, 573,734.39 and 224,763

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Solution

The fourth proportional to 415,749.66, 573,734.39 and 224,763 is: 310,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,749.66 : 573,734.39 = 224,763 : x
  2. Step 2: Convert to fraction form
    415,749.66/573,734.39 = 224,763/x
  3. Step 3: Cross multiply
    415,749.66x = 573,734.39 × 224,763
  4. Step 4: Simplify right side
    415,749.66x = 128,954,261,575.76
  5. Step 5: Solve for x
    x = 128,954,261,575.76/415,749.66
  6. Step 6: Final answer
    x = 310,172.86

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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.