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Finding the Fourth Proportional to 295,919.00, 408,408.24 and 166,884.01

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Solution

The fourth proportional to 295,919.00, 408,408.24 and 166,884.01 is: 230,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,919.00 : 408,408.24 = 166,884.01 : x
  2. Step 2: Convert to fraction form
    295,919.00/408,408.24 = 166,884.01/x
  3. Step 3: Cross multiply
    295,919.00x = 408,408.24 × 166,884.01
  4. Step 4: Simplify right side
    295,919.00x = 68,156,803,973.82
  5. Step 5: Solve for x
    x = 68,156,803,973.82/295,919.00
  6. Step 6: Final answer
    x = 230,322.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.