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Finding the Fourth Proportional to 550,523.49, 825,867.32 and 195,507.69

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Solution

The fourth proportional to 550,523.49, 825,867.32 and 195,507.69 is: 293,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,523.49 : 825,867.32 = 195,507.69 : x
  2. Step 2: Convert to fraction form
    550,523.49/825,867.32 = 195,507.69/x
  3. Step 3: Cross multiply
    550,523.49x = 825,867.32 × 195,507.69
  4. Step 4: Simplify right side
    550,523.49x = 161,463,411,002.15
  5. Step 5: Solve for x
    x = 161,463,411,002.15/550,523.49
  6. Step 6: Final answer
    x = 293,290.68

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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.