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Finding the Fourth Proportional to 496,309.77, 684,907.92 and 269,955.27

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Solution

The fourth proportional to 496,309.77, 684,907.92 and 269,955.27 is: 372,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,309.77 : 684,907.92 = 269,955.27 : x
  2. Step 2: Convert to fraction form
    496,309.77/684,907.92 = 269,955.27/x
  3. Step 3: Cross multiply
    496,309.77x = 684,907.92 × 269,955.27
  4. Step 4: Simplify right side
    496,309.77x = 184,894,502,468.74
  5. Step 5: Solve for x
    x = 184,894,502,468.74/496,309.77
  6. Step 6: Final answer
    x = 372,538.51

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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.