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Finding the Fourth Proportional to 442,297.81, 610,351.65 and 270,504.10

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Solution

The fourth proportional to 442,297.81, 610,351.65 and 270,504.10 is: 373,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,297.81 : 610,351.65 = 270,504.10 : x
  2. Step 2: Convert to fraction form
    442,297.81/610,351.65 = 270,504.10/x
  3. Step 3: Cross multiply
    442,297.81x = 610,351.65 × 270,504.10
  4. Step 4: Simplify right side
    442,297.81x = 165,102,623,766.77
  5. Step 5: Solve for x
    x = 165,102,623,766.77/442,297.81
  6. Step 6: Final answer
    x = 373,283.84

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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.