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Finding the Fourth Proportional to 291,007.10, 401,585.69 and 163,682.39

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Solution

The fourth proportional to 291,007.10, 401,585.69 and 163,682.39 is: 225,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,007.10 : 401,585.69 = 163,682.39 : x
  2. Step 2: Convert to fraction form
    291,007.10/401,585.69 = 163,682.39/x
  3. Step 3: Cross multiply
    291,007.10x = 401,585.69 × 163,682.39
  4. Step 4: Simplify right side
    291,007.10x = 65,732,505,714.55
  5. Step 5: Solve for x
    x = 65,732,505,714.55/291,007.10
  6. Step 6: Final answer
    x = 225,879.39

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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.