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Finding the Fourth Proportional to 511,856.20, 768,014.70 and 245,513.80

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Solution

The fourth proportional to 511,856.20, 768,014.70 and 245,513.80 is: 368,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,856.20 : 768,014.70 = 245,513.80 : x
  2. Step 2: Convert to fraction form
    511,856.20/768,014.70 = 245,513.80/x
  3. Step 3: Cross multiply
    511,856.20x = 768,014.70 × 245,513.80
  4. Step 4: Simplify right side
    511,856.20x = 188,558,207,452.86
  5. Step 5: Solve for x
    x = 188,558,207,452.86/511,856.20
  6. Step 6: Final answer
    x = 368,381.21

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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.