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Finding the Fourth Proportional to 467,464.40, 700,937.40 and 201,179.60

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Solution

The fourth proportional to 467,464.40, 700,937.40 and 201,179.60 is: 301,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,464.40 : 700,937.40 = 201,179.60 : x
  2. Step 2: Convert to fraction form
    467,464.40/700,937.40 = 201,179.60/x
  3. Step 3: Cross multiply
    467,464.40x = 700,937.40 × 201,179.60
  4. Step 4: Simplify right side
    467,464.40x = 141,014,305,757.04
  5. Step 5: Solve for x
    x = 141,014,305,757.04/467,464.40
  6. Step 6: Final answer
    x = 301,657.85

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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.