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Finding the Fourth Proportional to 484,296.24, 726,653.28 and 184,866.72

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Solution

The fourth proportional to 484,296.24, 726,653.28 and 184,866.72 is: 277,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,296.24 : 726,653.28 = 184,866.72 : x
  2. Step 2: Convert to fraction form
    484,296.24/726,653.28 = 184,866.72/x
  3. Step 3: Cross multiply
    484,296.24x = 726,653.28 × 184,866.72
  4. Step 4: Simplify right side
    484,296.24x = 134,334,008,450.84
  5. Step 5: Solve for x
    x = 134,334,008,450.84/484,296.24
  6. Step 6: Final answer
    x = 277,379.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.