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Finding the Fourth Proportional to 320,223.60, 480,345.12 and 109,858.56

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Solution

The fourth proportional to 320,223.60, 480,345.12 and 109,858.56 is: 164,791.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,223.60 : 480,345.12 = 109,858.56 : x
  2. Step 2: Convert to fraction form
    320,223.60/480,345.12 = 109,858.56/x
  3. Step 3: Cross multiply
    320,223.60x = 480,345.12 × 109,858.56
  4. Step 4: Simplify right side
    320,223.60x = 52,770,023,186.23
  5. Step 5: Solve for x
    x = 52,770,023,186.23/320,223.60
  6. Step 6: Final answer
    x = 164,791.17

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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.