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Finding the Fourth Proportional to 291,252.60, 401,911.50 and 163,923

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Solution

The fourth proportional to 291,252.60, 401,911.50 and 163,923 is: 226,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,252.60 : 401,911.50 = 163,923 : x
  2. Step 2: Convert to fraction form
    291,252.60/401,911.50 = 163,923/x
  3. Step 3: Cross multiply
    291,252.60x = 401,911.50 × 163,923
  4. Step 4: Simplify right side
    291,252.60x = 65,882,538,814.50
  5. Step 5: Solve for x
    x = 65,882,538,814.50/291,252.60
  6. Step 6: Final answer
    x = 226,204.12

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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.