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Finding the Fourth Proportional to 472,181.72, 708,410.75 and 152,327.43

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Solution

The fourth proportional to 472,181.72, 708,410.75 and 152,327.43 is: 228,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,181.72 : 708,410.75 = 152,327.43 : x
  2. Step 2: Convert to fraction form
    472,181.72/708,410.75 = 152,327.43/x
  3. Step 3: Cross multiply
    472,181.72x = 708,410.75 × 152,327.43
  4. Step 4: Simplify right side
    472,181.72x = 107,910,388,170.24
  5. Step 5: Solve for x
    x = 107,910,388,170.24/472,181.72
  6. Step 6: Final answer
    x = 228,535.72

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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.