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Finding the Fourth Proportional to 442,299.82, 610,354.40 and 270,506.10

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Solution

The fourth proportional to 442,299.82, 610,354.40 and 270,506.10 is: 373,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,299.82 : 610,354.40 = 270,506.10 : x
  2. Step 2: Convert to fraction form
    442,299.82/610,354.40 = 270,506.10/x
  3. Step 3: Cross multiply
    442,299.82x = 610,354.40 × 270,506.10
  4. Step 4: Simplify right side
    442,299.82x = 165,104,588,361.84
  5. Step 5: Solve for x
    x = 165,104,588,361.84/442,299.82
  6. Step 6: Final answer
    x = 373,286.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.