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Finding the Fourth Proportional to 496,186.48, 684,730.92 and 269,827.12

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Solution

The fourth proportional to 496,186.48, 684,730.92 and 269,827.12 is: 372,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,186.48 : 684,730.92 = 269,827.12 : x
  2. Step 2: Convert to fraction form
    496,186.48/684,730.92 = 269,827.12/x
  3. Step 3: Cross multiply
    496,186.48x = 684,730.92 × 269,827.12
  4. Step 4: Simplify right side
    496,186.48x = 184,758,972,118.55
  5. Step 5: Solve for x
    x = 184,758,972,118.55/496,186.48
  6. Step 6: Final answer
    x = 372,357.93

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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.