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Finding the Fourth Proportional to 405,757.46, 559,961.76 and 224,466.26

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Solution

The fourth proportional to 405,757.46, 559,961.76 and 224,466.26 is: 309,772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,757.46 : 559,961.76 = 224,466.26 : x
  2. Step 2: Convert to fraction form
    405,757.46/559,961.76 = 224,466.26/x
  3. Step 3: Cross multiply
    405,757.46x = 559,961.76 × 224,466.26
  4. Step 4: Simplify right side
    405,757.46x = 125,692,522,010.22
  5. Step 5: Solve for x
    x = 125,692,522,010.22/405,757.46
  6. Step 6: Final answer
    x = 309,772.55

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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.