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Finding the Fourth Proportional to 293,782.56, 440,684.29 and 94,077

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Solution

The fourth proportional to 293,782.56, 440,684.29 and 94,077 is: 141,118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,782.56 : 440,684.29 = 94,077 : x
  2. Step 2: Convert to fraction form
    293,782.56/440,684.29 = 94,077/x
  3. Step 3: Cross multiply
    293,782.56x = 440,684.29 × 94,077
  4. Step 4: Simplify right side
    293,782.56x = 41,458,255,479.95
  5. Step 5: Solve for x
    x = 41,458,255,479.95/293,782.56
  6. Step 6: Final answer
    x = 141,118.84

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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.