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Finding the Fourth Proportional to 462,782.91, 694,261.25 and 210,081.14

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Solution

The fourth proportional to 462,782.91, 694,261.25 and 210,081.14 is: 315,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,782.91 : 694,261.25 = 210,081.14 : x
  2. Step 2: Convert to fraction form
    462,782.91/694,261.25 = 210,081.14/x
  3. Step 3: Cross multiply
    462,782.91x = 694,261.25 × 210,081.14
  4. Step 4: Simplify right side
    462,782.91x = 145,851,190,336.11
  5. Step 5: Solve for x
    x = 145,851,190,336.11/462,782.91
  6. Step 6: Final answer
    x = 315,161.14

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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.