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Finding the Fourth Proportional to 380,363.25, 524,917.69 and 210,597.38

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Solution

The fourth proportional to 380,363.25, 524,917.69 and 210,597.38 is: 290,633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,363.25 : 524,917.69 = 210,597.38 : x
  2. Step 2: Convert to fraction form
    380,363.25/524,917.69 = 210,597.38/x
  3. Step 3: Cross multiply
    380,363.25x = 524,917.69 × 210,597.38
  4. Step 4: Simplify right side
    380,363.25x = 110,546,287,078.57
  5. Step 5: Solve for x
    x = 110,546,287,078.57/380,363.25
  6. Step 6: Final answer
    x = 290,633.46

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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.