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Finding the Fourth Proportional to 462,642.60, 694,223.10 and 196,357.80

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Solution

The fourth proportional to 462,642.60, 694,223.10 and 196,357.80 is: 294,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,642.60 : 694,223.10 = 196,357.80 : x
  2. Step 2: Convert to fraction form
    462,642.60/694,223.10 = 196,357.80/x
  3. Step 3: Cross multiply
    462,642.60x = 694,223.10 × 196,357.80
  4. Step 4: Simplify right side
    462,642.60x = 136,316,120,625.18
  5. Step 5: Solve for x
    x = 136,316,120,625.18/462,642.60
  6. Step 6: Final answer
    x = 294,646.71

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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.