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Finding the Fourth Proportional to 455,164.20, 682,454.70 and 189,030.60

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Solution

The fourth proportional to 455,164.20, 682,454.70 and 189,030.60 is: 283,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,164.20 : 682,454.70 = 189,030.60 : x
  2. Step 2: Convert to fraction form
    455,164.20/682,454.70 = 189,030.60/x
  3. Step 3: Cross multiply
    455,164.20x = 682,454.70 × 189,030.60
  4. Step 4: Simplify right side
    455,164.20x = 129,004,821,413.82
  5. Step 5: Solve for x
    x = 129,004,821,413.82/455,164.20
  6. Step 6: Final answer
    x = 283,424.80

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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.