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Finding the Fourth Proportional to 333,467.75, 500,264.84 and 133,803.87

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Solution

The fourth proportional to 333,467.75, 500,264.84 and 133,803.87 is: 200,731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,467.75 : 500,264.84 = 133,803.87 : x
  2. Step 2: Convert to fraction form
    333,467.75/500,264.84 = 133,803.87/x
  3. Step 3: Cross multiply
    333,467.75x = 500,264.84 × 133,803.87
  4. Step 4: Simplify right side
    333,467.75x = 66,937,370,947.91
  5. Step 5: Solve for x
    x = 66,937,370,947.91/333,467.75
  6. Step 6: Final answer
    x = 200,731.17

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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.