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Finding the Fourth Proportional to 652,097.40, 978,632.10 and 336,391.80

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Solution

The fourth proportional to 652,097.40, 978,632.10 and 336,391.80 is: 504,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,097.40 : 978,632.10 = 336,391.80 : x
  2. Step 2: Convert to fraction form
    652,097.40/978,632.10 = 336,391.80/x
  3. Step 3: Cross multiply
    652,097.40x = 978,632.10 × 336,391.80
  4. Step 4: Simplify right side
    652,097.40x = 329,203,813,656.78
  5. Step 5: Solve for x
    x = 329,203,813,656.78/652,097.40
  6. Step 6: Final answer
    x = 504,838.41

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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.