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Finding the Fourth Proportional to 652,123.80, 978,185.70 and 337,195.80

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Solution

The fourth proportional to 652,123.80, 978,185.70 and 337,195.80 is: 505,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,123.80 : 978,185.70 = 337,195.80 : x
  2. Step 2: Convert to fraction form
    652,123.80/978,185.70 = 337,195.80/x
  3. Step 3: Cross multiply
    652,123.80x = 978,185.70 × 337,195.80
  4. Step 4: Simplify right side
    652,123.80x = 329,840,109,660.06
  5. Step 5: Solve for x
    x = 329,840,109,660.06/652,123.80
  6. Step 6: Final answer
    x = 505,793.70

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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.