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Finding the Fourth Proportional to 365,633.86, 548,001.58 and 205,372.90

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Solution

The fourth proportional to 365,633.86, 548,001.58 and 205,372.90 is: 307,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,633.86 : 548,001.58 = 205,372.90 : x
  2. Step 2: Convert to fraction form
    365,633.86/548,001.58 = 205,372.90/x
  3. Step 3: Cross multiply
    365,633.86x = 548,001.58 × 205,372.90
  4. Step 4: Simplify right side
    365,633.86x = 112,544,673,689.18
  5. Step 5: Solve for x
    x = 112,544,673,689.18/365,633.86
  6. Step 6: Final answer
    x = 307,807.04

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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.