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Finding the Fourth Proportional to 492,805.62, 739,213.83 and 155,838.06

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Solution

The fourth proportional to 492,805.62, 739,213.83 and 155,838.06 is: 233,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,805.62 : 739,213.83 = 155,838.06 : x
  2. Step 2: Convert to fraction form
    492,805.62/739,213.83 = 155,838.06/x
  3. Step 3: Cross multiply
    492,805.62x = 739,213.83 × 155,838.06
  4. Step 4: Simplify right side
    492,805.62x = 115,197,649,192.37
  5. Step 5: Solve for x
    x = 115,197,649,192.37/492,805.62
  6. Step 6: Final answer
    x = 233,758.80

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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.