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Finding the Fourth Proportional to 343,742.94, 474,422.27 and 200,503.01

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Solution

The fourth proportional to 343,742.94, 474,422.27 and 200,503.01 is: 276,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,742.94 : 474,422.27 = 200,503.01 : x
  2. Step 2: Convert to fraction form
    343,742.94/474,422.27 = 200,503.01/x
  3. Step 3: Cross multiply
    343,742.94x = 474,422.27 × 200,503.01
  4. Step 4: Simplify right side
    343,742.94x = 95,123,093,329.57
  5. Step 5: Solve for x
    x = 95,123,093,329.57/343,742.94
  6. Step 6: Final answer
    x = 276,727.41

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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.