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Finding the Fourth Proportional to 291,039.64, 401,630.88 and 163,715.20

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Solution

The fourth proportional to 291,039.64, 401,630.88 and 163,715.20 is: 225,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,039.64 : 401,630.88 = 163,715.20 : x
  2. Step 2: Convert to fraction form
    291,039.64/401,630.88 = 163,715.20/x
  3. Step 3: Cross multiply
    291,039.64x = 401,630.88 × 163,715.20
  4. Step 4: Simplify right side
    291,039.64x = 65,753,079,845.38
  5. Step 5: Solve for x
    x = 65,753,079,845.38/291,039.64
  6. Step 6: Final answer
    x = 225,924.83

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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.