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Finding the Fourth Proportional to 365,997.96, 549,184.86 and 277,221.96

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Solution

The fourth proportional to 365,997.96, 549,184.86 and 277,221.96 is: 415,975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,997.96 : 549,184.86 = 277,221.96 : x
  2. Step 2: Convert to fraction form
    365,997.96/549,184.86 = 277,221.96/x
  3. Step 3: Cross multiply
    365,997.96x = 549,184.86 × 277,221.96
  4. Step 4: Simplify right side
    365,997.96x = 152,246,103,291.53
  5. Step 5: Solve for x
    x = 152,246,103,291.53/365,997.96
  6. Step 6: Final answer
    x = 415,975.28

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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.