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Finding the Fourth Proportional to 401,074.24, 601,612.17 and 164,374.42

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Solution

The fourth proportional to 401,074.24, 601,612.17 and 164,374.42 is: 246,561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,074.24 : 601,612.17 = 164,374.42 : x
  2. Step 2: Convert to fraction form
    401,074.24/601,612.17 = 164,374.42/x
  3. Step 3: Cross multiply
    401,074.24x = 601,612.17 × 164,374.42
  4. Step 4: Simplify right side
    401,074.24x = 98,889,651,508.69
  5. Step 5: Solve for x
    x = 98,889,651,508.69/401,074.24
  6. Step 6: Final answer
    x = 246,561.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.