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Finding the Fourth Proportional to 358,483.23, 494,713.08 and 205,546.32

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Solution

The fourth proportional to 358,483.23, 494,713.08 and 205,546.32 is: 283,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,483.23 : 494,713.08 = 205,546.32 : x
  2. Step 2: Convert to fraction form
    358,483.23/494,713.08 = 205,546.32/x
  3. Step 3: Cross multiply
    358,483.23x = 494,713.08 × 205,546.32
  4. Step 4: Simplify right side
    358,483.23x = 101,686,453,049.87
  5. Step 5: Solve for x
    x = 101,686,453,049.87/358,483.23
  6. Step 6: Final answer
    x = 283,657.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.