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Finding the Fourth Proportional to 322,409.30, 482,983.34 and 265,564.81

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Solution

The fourth proportional to 322,409.30, 482,983.34 and 265,564.81 is: 397,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,409.30 : 482,983.34 = 265,564.81 : x
  2. Step 2: Convert to fraction form
    322,409.30/482,983.34 = 265,564.81/x
  3. Step 3: Cross multiply
    322,409.30x = 482,983.34 × 265,564.81
  4. Step 4: Simplify right side
    322,409.30x = 128,263,376,384.98
  5. Step 5: Solve for x
    x = 128,263,376,384.98/322,409.30
  6. Step 6: Final answer
    x = 397,827.79

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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.