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Finding the Fourth Proportional to 352,827.40, 529,022.40 and 202,993.60

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Solution

The fourth proportional to 352,827.40, 529,022.40 and 202,993.60 is: 304,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,827.40 : 529,022.40 = 202,993.60 : x
  2. Step 2: Convert to fraction form
    352,827.40/529,022.40 = 202,993.60/x
  3. Step 3: Cross multiply
    352,827.40x = 529,022.40 × 202,993.60
  4. Step 4: Simplify right side
    352,827.40x = 107,388,161,456.64
  5. Step 5: Solve for x
    x = 107,388,161,456.64/352,827.40
  6. Step 6: Final answer
    x = 304,364.57

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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.