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Finding the Fourth Proportional to 496,009.12, 684,463.52 and 269,652.64

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Solution

The fourth proportional to 496,009.12, 684,463.52 and 269,652.64 is: 372,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,009.12 : 684,463.52 = 269,652.64 : x
  2. Step 2: Convert to fraction form
    496,009.12/684,463.52 = 269,652.64/x
  3. Step 3: Cross multiply
    496,009.12x = 684,463.52 × 269,652.64
  4. Step 4: Simplify right side
    496,009.12x = 184,567,395,151.69
  5. Step 5: Solve for x
    x = 184,567,395,151.69/496,009.12
  6. Step 6: Final answer
    x = 372,104.84

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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.