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Finding the Fourth Proportional to 296,720.36, 409,474.30 and 175,921.24

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Solution

The fourth proportional to 296,720.36, 409,474.30 and 175,921.24 is: 242,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,720.36 : 409,474.30 = 175,921.24 : x
  2. Step 2: Convert to fraction form
    296,720.36/409,474.30 = 175,921.24/x
  3. Step 3: Cross multiply
    296,720.36x = 409,474.30 × 175,921.24
  4. Step 4: Simplify right side
    296,720.36x = 72,035,226,604.13
  5. Step 5: Solve for x
    x = 72,035,226,604.13/296,720.36
  6. Step 6: Final answer
    x = 242,771.43

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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.