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Finding the Fourth Proportional to 343,724.26, 474,396.50 and 200,484.30

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Solution

The fourth proportional to 343,724.26, 474,396.50 and 200,484.30 is: 276,701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,724.26 : 474,396.50 = 200,484.30 : x
  2. Step 2: Convert to fraction form
    343,724.26/474,396.50 = 200,484.30/x
  3. Step 3: Cross multiply
    343,724.26x = 474,396.50 × 200,484.30
  4. Step 4: Simplify right side
    343,724.26x = 95,109,050,224.95
  5. Step 5: Solve for x
    x = 95,109,050,224.95/343,724.26
  6. Step 6: Final answer
    x = 276,701.59

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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.