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Finding the Fourth Proportional to 646,940.60, 970,151.70 and 225,999.80

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Solution

The fourth proportional to 646,940.60, 970,151.70 and 225,999.80 is: 338,909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,940.60 : 970,151.70 = 225,999.80 : x
  2. Step 2: Convert to fraction form
    646,940.60/970,151.70 = 225,999.80/x
  3. Step 3: Cross multiply
    646,940.60x = 970,151.70 × 225,999.80
  4. Step 4: Simplify right side
    646,940.60x = 219,254,090,169.66
  5. Step 5: Solve for x
    x = 219,254,090,169.66/646,940.60
  6. Step 6: Final answer
    x = 338,909.15

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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.