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Finding the Fourth Proportional to 382,738.60, 573,071.10 and 299,794.60

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Solution

The fourth proportional to 382,738.60, 573,071.10 and 299,794.60 is: 448,879.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,738.60 : 573,071.10 = 299,794.60 : x
  2. Step 2: Convert to fraction form
    382,738.60/573,071.10 = 299,794.60/x
  3. Step 3: Cross multiply
    382,738.60x = 573,071.10 × 299,794.60
  4. Step 4: Simplify right side
    382,738.60x = 171,803,621,196.06
  5. Step 5: Solve for x
    x = 171,803,621,196.06/382,738.60
  6. Step 6: Final answer
    x = 448,879.79

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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.