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Finding the Fourth Proportional to 550,681.62, 826,022.48 and 195,709.65

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Solution

The fourth proportional to 550,681.62, 826,022.48 and 195,709.65 is: 293,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,681.62 : 826,022.48 = 195,709.65 : x
  2. Step 2: Convert to fraction form
    550,681.62/826,022.48 = 195,709.65/x
  3. Step 3: Cross multiply
    550,681.62x = 826,022.48 × 195,709.65
  4. Step 4: Simplify right side
    550,681.62x = 161,660,569,474.38
  5. Step 5: Solve for x
    x = 161,660,569,474.38/550,681.62
  6. Step 6: Final answer
    x = 293,564.49

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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.