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Finding the Fourth Proportional to 263,590.50, 363,820.50 and 150,478.86

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Solution

The fourth proportional to 263,590.50, 363,820.50 and 150,478.86 is: 207,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,590.50 : 363,820.50 = 150,478.86 : x
  2. Step 2: Convert to fraction form
    263,590.50/363,820.50 = 150,478.86/x
  3. Step 3: Cross multiply
    263,590.50x = 363,820.50 × 150,478.86
  4. Step 4: Simplify right side
    263,590.50x = 54,747,294,084.63
  5. Step 5: Solve for x
    x = 54,747,294,084.63/263,590.50
  6. Step 6: Final answer
    x = 207,698.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.