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Finding the Fourth Proportional to 511,055.60, 766,753.96 and 226,707.02

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Solution

The fourth proportional to 511,055.60, 766,753.96 and 226,707.02 is: 340,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,055.60 : 766,753.96 = 226,707.02 : x
  2. Step 2: Convert to fraction form
    511,055.60/766,753.96 = 226,707.02/x
  3. Step 3: Cross multiply
    511,055.60x = 766,753.96 × 226,707.02
  4. Step 4: Simplify right side
    511,055.60x = 173,828,505,344.80
  5. Step 5: Solve for x
    x = 173,828,505,344.80/511,055.60
  6. Step 6: Final answer
    x = 340,136.19

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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.