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Finding the Fourth Proportional to 365,477.09, 548,713.01 and 205,665.94

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Solution

The fourth proportional to 365,477.09, 548,713.01 and 205,665.94 is: 308,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,477.09 : 548,713.01 = 205,665.94 : x
  2. Step 2: Convert to fraction form
    365,477.09/548,713.01 = 205,665.94/x
  3. Step 3: Cross multiply
    365,477.09x = 548,713.01 × 205,665.94
  4. Step 4: Simplify right side
    365,477.09x = 112,851,573,219.99
  5. Step 5: Solve for x
    x = 112,851,573,219.99/365,477.09
  6. Step 6: Final answer
    x = 308,778.79

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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.