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Finding the Fourth Proportional to 653,727.98, 980,648.40 and 180,413.30

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Solution

The fourth proportional to 653,727.98, 980,648.40 and 180,413.30 is: 270,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,727.98 : 980,648.40 = 180,413.30 : x
  2. Step 2: Convert to fraction form
    653,727.98/980,648.40 = 180,413.30/x
  3. Step 3: Cross multiply
    653,727.98x = 980,648.40 × 180,413.30
  4. Step 4: Simplify right side
    653,727.98x = 176,922,013,983.72
  5. Step 5: Solve for x
    x = 176,922,013,983.72/653,727.98
  6. Step 6: Final answer
    x = 270,635.52

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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.