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Finding the Fourth Proportional to 633,181.57, 949,692.15 and 177,814.15

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Solution

The fourth proportional to 633,181.57, 949,692.15 and 177,814.15 is: 266,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,181.57 : 949,692.15 = 177,814.15 : x
  2. Step 2: Convert to fraction form
    633,181.57/949,692.15 = 177,814.15/x
  3. Step 3: Cross multiply
    633,181.57x = 949,692.15 × 177,814.15
  4. Step 4: Simplify right side
    633,181.57x = 168,868,702,413.92
  5. Step 5: Solve for x
    x = 168,868,702,413.92/633,181.57
  6. Step 6: Final answer
    x = 266,698.70

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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.