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Finding the Fourth Proportional to 413,413.70, 618,552.15 and 245,024.42

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Solution

The fourth proportional to 413,413.70, 618,552.15 and 245,024.42 is: 366,607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,413.70 : 618,552.15 = 245,024.42 : x
  2. Step 2: Convert to fraction form
    413,413.70/618,552.15 = 245,024.42/x
  3. Step 3: Cross multiply
    413,413.70x = 618,552.15 × 245,024.42
  4. Step 4: Simplify right side
    413,413.70x = 151,560,381,793.50
  5. Step 5: Solve for x
    x = 151,560,381,793.50/413,413.70
  6. Step 6: Final answer
    x = 366,607.06

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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.