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Finding the Fourth Proportional to 296,579.26, 409,263.21 and 175,731.70

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Solution

The fourth proportional to 296,579.26, 409,263.21 and 175,731.70 is: 242,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,579.26 : 409,263.21 = 175,731.70 : x
  2. Step 2: Convert to fraction form
    296,579.26/409,263.21 = 175,731.70/x
  3. Step 3: Cross multiply
    296,579.26x = 409,263.21 × 175,731.70
  4. Step 4: Simplify right side
    296,579.26x = 71,920,519,640.76
  5. Step 5: Solve for x
    x = 71,920,519,640.76/296,579.26
  6. Step 6: Final answer
    x = 242,500.17

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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.