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Finding the Fourth Proportional to 549,057.29, 757,662.46 and 304,033.70

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Solution

The fourth proportional to 549,057.29, 757,662.46 and 304,033.70 is: 419,546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,057.29 : 757,662.46 = 304,033.70 : x
  2. Step 2: Convert to fraction form
    549,057.29/757,662.46 = 304,033.70/x
  3. Step 3: Cross multiply
    549,057.29x = 757,662.46 × 304,033.70
  4. Step 4: Simplify right side
    549,057.29x = 230,354,922,198.97
  5. Step 5: Solve for x
    x = 230,354,922,198.97/549,057.29
  6. Step 6: Final answer
    x = 419,546.24

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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.