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Finding the Fourth Proportional to 567,514.54, 851,086.58 and 188,333.40

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Solution

The fourth proportional to 567,514.54, 851,086.58 and 188,333.40 is: 282,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,514.54 : 851,086.58 = 188,333.40 : x
  2. Step 2: Convert to fraction form
    567,514.54/851,086.58 = 188,333.40/x
  3. Step 3: Cross multiply
    567,514.54x = 851,086.58 × 188,333.40
  4. Step 4: Simplify right side
    567,514.54x = 160,288,029,305.77
  5. Step 5: Solve for x
    x = 160,288,029,305.77/567,514.54
  6. Step 6: Final answer
    x = 282,438.63

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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.