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Finding the Fourth Proportional to 317,651.64, 438,356.22 and 174,410.42

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Solution

The fourth proportional to 317,651.64, 438,356.22 and 174,410.42 is: 240,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,651.64 : 438,356.22 = 174,410.42 : x
  2. Step 2: Convert to fraction form
    317,651.64/438,356.22 = 174,410.42/x
  3. Step 3: Cross multiply
    317,651.64x = 438,356.22 × 174,410.42
  4. Step 4: Simplify right side
    317,651.64x = 76,453,892,439.81
  5. Step 5: Solve for x
    x = 76,453,892,439.81/317,651.64
  6. Step 6: Final answer
    x = 240,684.71

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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.