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Finding the Fourth Proportional to 467,115.40, 700,413.90 and 200,830.60

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Solution

The fourth proportional to 467,115.40, 700,413.90 and 200,830.60 is: 301,134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,115.40 : 700,413.90 = 200,830.60 : x
  2. Step 2: Convert to fraction form
    467,115.40/700,413.90 = 200,830.60/x
  3. Step 3: Cross multiply
    467,115.40x = 700,413.90 × 200,830.60
  4. Step 4: Simplify right side
    467,115.40x = 140,664,543,785.34
  5. Step 5: Solve for x
    x = 140,664,543,785.34/467,115.40
  6. Step 6: Final answer
    x = 301,134.46

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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.