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Finding the Fourth Proportional to 300,956.93, 415,317.91 and 164,988.41

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Solution

The fourth proportional to 300,956.93, 415,317.91 and 164,988.41 is: 227,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,956.93 : 415,317.91 = 164,988.41 : x
  2. Step 2: Convert to fraction form
    300,956.93/415,317.91 = 164,988.41/x
  3. Step 3: Cross multiply
    300,956.93x = 415,317.91 × 164,988.41
  4. Step 4: Simplify right side
    300,956.93x = 68,522,641,615.42
  5. Step 5: Solve for x
    x = 68,522,641,615.42/300,956.93
  6. Step 6: Final answer
    x = 227,682.55

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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.