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Finding the Fourth Proportional to 365,362.74, 548,541.09 and 205,551.14

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Solution

The fourth proportional to 365,362.74, 548,541.09 and 205,551.14 is: 308,606.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,362.74 : 548,541.09 = 205,551.14 : x
  2. Step 2: Convert to fraction form
    365,362.74/548,541.09 = 205,551.14/x
  3. Step 3: Cross multiply
    365,362.74x = 548,541.09 × 205,551.14
  4. Step 4: Simplify right side
    365,362.74x = 112,753,243,643.64
  5. Step 5: Solve for x
    x = 112,753,243,643.64/365,362.74
  6. Step 6: Final answer
    x = 308,606.30

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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.