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Finding the Fourth Proportional to 291,825.82, 402,626.99 and 230,377.19

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Solution

The fourth proportional to 291,825.82, 402,626.99 and 230,377.19 is: 317,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,825.82 : 402,626.99 = 230,377.19 : x
  2. Step 2: Convert to fraction form
    291,825.82/402,626.99 = 230,377.19/x
  3. Step 3: Cross multiply
    291,825.82x = 402,626.99 × 230,377.19
  4. Step 4: Simplify right side
    291,825.82x = 92,756,073,422.47
  5. Step 5: Solve for x
    x = 92,756,073,422.47/291,825.82
  6. Step 6: Final answer
    x = 317,847.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.