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Finding the Fourth Proportional to 296,923.26, 409,736.70 and 176,076.12

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Solution

The fourth proportional to 296,923.26, 409,736.70 and 176,076.12 is: 242,974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,923.26 : 409,736.70 = 176,076.12 : x
  2. Step 2: Convert to fraction form
    296,923.26/409,736.70 = 176,076.12/x
  3. Step 3: Cross multiply
    296,923.26x = 409,736.70 × 176,076.12
  4. Step 4: Simplify right side
    296,923.26x = 72,144,848,357.60
  5. Step 5: Solve for x
    x = 72,144,848,357.60/296,923.26
  6. Step 6: Final answer
    x = 242,974.73

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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.