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Finding the Fourth Proportional to 274,417.46, 411,093.56 and 202,239.27

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Solution

The fourth proportional to 274,417.46, 411,093.56 and 202,239.27 is: 302,966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,417.46 : 411,093.56 = 202,239.27 : x
  2. Step 2: Convert to fraction form
    274,417.46/411,093.56 = 202,239.27/x
  3. Step 3: Cross multiply
    274,417.46x = 411,093.56 × 202,239.27
  4. Step 4: Simplify right side
    274,417.46x = 83,139,260,464.90
  5. Step 5: Solve for x
    x = 83,139,260,464.90/274,417.46
  6. Step 6: Final answer
    x = 302,966.37

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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.