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Finding the Fourth Proportional to 652,413.17, 978,760.50 and 196,966.59

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Solution

The fourth proportional to 652,413.17, 978,760.50 and 196,966.59 is: 295,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,413.17 : 978,760.50 = 196,966.59 : x
  2. Step 2: Convert to fraction form
    652,413.17/978,760.50 = 196,966.59/x
  3. Step 3: Cross multiply
    652,413.17x = 978,760.50 × 196,966.59
  4. Step 4: Simplify right side
    652,413.17x = 192,783,118,111.70
  5. Step 5: Solve for x
    x = 192,783,118,111.70/652,413.17
  6. Step 6: Final answer
    x = 295,492.38

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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.