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Finding the Fourth Proportional to 343,744.32, 474,424.16 and 200,504.39

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Solution

The fourth proportional to 343,744.32, 474,424.16 and 200,504.39 is: 276,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,744.32 : 474,424.16 = 200,504.39 : x
  2. Step 2: Convert to fraction form
    343,744.32/474,424.16 = 200,504.39/x
  3. Step 3: Cross multiply
    343,744.32x = 474,424.16 × 200,504.39
  4. Step 4: Simplify right side
    343,744.32x = 95,124,126,802.06
  5. Step 5: Solve for x
    x = 95,124,126,802.06/343,744.32
  6. Step 6: Final answer
    x = 276,729.31

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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.