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Finding the Fourth Proportional to 496,859.56, 745,273.44 and 208,823.80

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Solution

The fourth proportional to 496,859.56, 745,273.44 and 208,823.80 is: 313,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,859.56 : 745,273.44 = 208,823.80 : x
  2. Step 2: Convert to fraction form
    496,859.56/745,273.44 = 208,823.80/x
  3. Step 3: Cross multiply
    496,859.56x = 745,273.44 × 208,823.80
  4. Step 4: Simplify right side
    496,859.56x = 155,630,831,779.87
  5. Step 5: Solve for x
    x = 155,630,831,779.87/496,859.56
  6. Step 6: Final answer
    x = 313,229.02

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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.