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Finding the Fourth Proportional to 296,899, 409,709.64 and 160,930.03

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Solution

The fourth proportional to 296,899, 409,709.64 and 160,930.03 is: 222,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,899 : 409,709.64 = 160,930.03 : x
  2. Step 2: Convert to fraction form
    296,899/409,709.64 = 160,930.03/x
  3. Step 3: Cross multiply
    296,899x = 409,709.64 × 160,930.03
  4. Step 4: Simplify right side
    296,899x = 65,934,584,656.49
  5. Step 5: Solve for x
    x = 65,934,584,656.49/296,899
  6. Step 6: Final answer
    x = 222,077.49

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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.