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Finding the Fourth Proportional to 409,723.64, 565,217.64 and 273,790.96

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Solution

The fourth proportional to 409,723.64, 565,217.64 and 273,790.96 is: 377,697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,723.64 : 565,217.64 = 273,790.96 : x
  2. Step 2: Convert to fraction form
    409,723.64/565,217.64 = 273,790.96/x
  3. Step 3: Cross multiply
    409,723.64x = 565,217.64 × 273,790.96
  4. Step 4: Simplify right side
    409,723.64x = 154,751,480,264.53
  5. Step 5: Solve for x
    x = 154,751,480,264.53/409,723.64
  6. Step 6: Final answer
    x = 377,697.22

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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.