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Finding the Fourth Proportional to 320,796.99, 442,798.41 and 184,921.77

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Solution

The fourth proportional to 320,796.99, 442,798.41 and 184,921.77 is: 255,248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,796.99 : 442,798.41 = 184,921.77 : x
  2. Step 2: Convert to fraction form
    320,796.99/442,798.41 = 184,921.77/x
  3. Step 3: Cross multiply
    320,796.99x = 442,798.41 × 184,921.77
  4. Step 4: Simplify right side
    320,796.99x = 81,883,065,730.39
  5. Step 5: Solve for x
    x = 81,883,065,730.39/320,796.99
  6. Step 6: Final answer
    x = 255,248.86

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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.