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Finding the Fourth Proportional to 496,225.80, 684,771.84 and 269,871.48

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Solution

The fourth proportional to 496,225.80, 684,771.84 and 269,871.48 is: 372,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,225.80 : 684,771.84 = 269,871.48 : x
  2. Step 2: Convert to fraction form
    496,225.80/684,771.84 = 269,871.48/x
  3. Step 3: Cross multiply
    496,225.80x = 684,771.84 × 269,871.48
  4. Step 4: Simplify right side
    496,225.80x = 184,800,389,923.12
  5. Step 5: Solve for x
    x = 184,800,389,923.12/496,225.80
  6. Step 6: Final answer
    x = 372,411.89

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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.