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Finding the Fourth Proportional to 496,760.86, 685,543.35 and 270,415.90

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Solution

The fourth proportional to 496,760.86, 685,543.35 and 270,415.90 is: 373,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,760.86 : 685,543.35 = 270,415.90 : x
  2. Step 2: Convert to fraction form
    496,760.86/685,543.35 = 270,415.90/x
  3. Step 3: Cross multiply
    496,760.86x = 685,543.35 × 270,415.90
  4. Step 4: Simplify right side
    496,760.86x = 185,381,821,979.27
  5. Step 5: Solve for x
    x = 185,381,821,979.27/496,760.86
  6. Step 6: Final answer
    x = 373,181.22

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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.