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Finding the Fourth Proportional to 343,723.64, 474,395.63 and 200,483.68

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Solution

The fourth proportional to 343,723.64, 474,395.63 and 200,483.68 is: 276,700.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,723.64 : 474,395.63 = 200,483.68 : x
  2. Step 2: Convert to fraction form
    343,723.64/474,395.63 = 200,483.68/x
  3. Step 3: Cross multiply
    343,723.64x = 474,395.63 × 200,483.68
  4. Step 4: Simplify right side
    343,723.64x = 95,108,580,993.54
  5. Step 5: Solve for x
    x = 95,108,580,993.54/343,723.64
  6. Step 6: Final answer
    x = 276,700.73

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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.