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Finding the Fourth Proportional to 652,409.70, 978,614.55 and 541,817.70

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Solution

The fourth proportional to 652,409.70, 978,614.55 and 541,817.70 is: 812,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,409.70 : 978,614.55 = 541,817.70 : x
  2. Step 2: Convert to fraction form
    652,409.70/978,614.55 = 541,817.70/x
  3. Step 3: Cross multiply
    652,409.70x = 978,614.55 × 541,817.70
  4. Step 4: Simplify right side
    652,409.70x = 530,230,684,667.54
  5. Step 5: Solve for x
    x = 530,230,684,667.54/652,409.70
  6. Step 6: Final answer
    x = 812,726.55

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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.