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Finding the Fourth Proportional to 550,681.87, 826,022.85 and 195,709.90

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Solution

The fourth proportional to 550,681.87, 826,022.85 and 195,709.90 is: 293,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,681.87 : 826,022.85 = 195,709.90 : x
  2. Step 2: Convert to fraction form
    550,681.87/826,022.85 = 195,709.90/x
  3. Step 3: Cross multiply
    550,681.87x = 826,022.85 × 195,709.90
  4. Step 4: Simplify right side
    550,681.87x = 161,660,849,371.22
  5. Step 5: Solve for x
    x = 161,660,849,371.22/550,681.87
  6. Step 6: Final answer
    x = 293,564.87

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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.