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Finding the Fourth Proportional to 296,938.44, 409,757.40 and 176,091.12

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Solution

The fourth proportional to 296,938.44, 409,757.40 and 176,091.12 is: 242,995.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,938.44 : 409,757.40 = 176,091.12 : x
  2. Step 2: Convert to fraction form
    296,938.44/409,757.40 = 176,091.12/x
  3. Step 3: Cross multiply
    296,938.44x = 409,757.40 × 176,091.12
  4. Step 4: Simplify right side
    296,938.44x = 72,154,639,494.29
  5. Step 5: Solve for x
    x = 72,154,639,494.29/296,938.44
  6. Step 6: Final answer
    x = 242,995.28

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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.