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Finding the Fourth Proportional to 296,578.26, 409,261.83 and 175,730.70

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Solution

The fourth proportional to 296,578.26, 409,261.83 and 175,730.70 is: 242,498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,578.26 : 409,261.83 = 175,730.70 : x
  2. Step 2: Convert to fraction form
    296,578.26/409,261.83 = 175,730.70/x
  3. Step 3: Cross multiply
    296,578.26x = 409,261.83 × 175,730.70
  4. Step 4: Simplify right side
    296,578.26x = 71,919,867,869.18
  5. Step 5: Solve for x
    x = 71,919,867,869.18/296,578.26
  6. Step 6: Final answer
    x = 242,498.79

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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.