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Finding the Fourth Proportional to 397,610.74, 596,413.32 and 160,949.98

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Solution

The fourth proportional to 397,610.74, 596,413.32 and 160,949.98 is: 241,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,610.74 : 596,413.32 = 160,949.98 : x
  2. Step 2: Convert to fraction form
    397,610.74/596,413.32 = 160,949.98/x
  3. Step 3: Cross multiply
    397,610.74x = 596,413.32 × 160,949.98
  4. Step 4: Simplify right side
    397,610.74x = 95,992,711,925.73
  5. Step 5: Solve for x
    x = 95,992,711,925.73/397,610.74
  6. Step 6: Final answer
    x = 241,423.84

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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.