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Finding the Fourth Proportional to 405,181.85, 607,796.55 and 152,464.52

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Solution

The fourth proportional to 405,181.85, 607,796.55 and 152,464.52 is: 228,705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,181.85 : 607,796.55 = 152,464.52 : x
  2. Step 2: Convert to fraction form
    405,181.85/607,796.55 = 152,464.52/x
  3. Step 3: Cross multiply
    405,181.85x = 607,796.55 × 152,464.52
  4. Step 4: Simplify right side
    405,181.85x = 92,667,410,772.90
  5. Step 5: Solve for x
    x = 92,667,410,772.90/405,181.85
  6. Step 6: Final answer
    x = 228,705.73

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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.