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Finding the Fourth Proportional to 509,608.80, 764,413.20 and 391,874.40

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Solution

The fourth proportional to 509,608.80, 764,413.20 and 391,874.40 is: 587,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,608.80 : 764,413.20 = 391,874.40 : x
  2. Step 2: Convert to fraction form
    509,608.80/764,413.20 = 391,874.40/x
  3. Step 3: Cross multiply
    509,608.80x = 764,413.20 × 391,874.40
  4. Step 4: Simplify right side
    509,608.80x = 299,553,964,102.08
  5. Step 5: Solve for x
    x = 299,553,964,102.08/509,608.80
  6. Step 6: Final answer
    x = 587,811.60

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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.