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Finding the Fourth Proportional to 567,783.36, 851,902.25 and 230,849.91

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Solution

The fourth proportional to 567,783.36, 851,902.25 and 230,849.91 is: 346,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,783.36 : 851,902.25 = 230,849.91 : x
  2. Step 2: Convert to fraction form
    567,783.36/851,902.25 = 230,849.91/x
  3. Step 3: Cross multiply
    567,783.36x = 851,902.25 × 230,849.91
  4. Step 4: Simplify right side
    567,783.36x = 196,661,556,587.05
  5. Step 5: Solve for x
    x = 196,661,556,587.05/567,783.36
  6. Step 6: Final answer
    x = 346,367.24

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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.