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Finding the Fourth Proportional to 380,657.20, 525,286.24 and 210,881.20

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Solution

The fourth proportional to 380,657.20, 525,286.24 and 210,881.20 is: 291,004.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,657.20 : 525,286.24 = 210,881.20 : x
  2. Step 2: Convert to fraction form
    380,657.20/525,286.24 = 210,881.20/x
  3. Step 3: Cross multiply
    380,657.20x = 525,286.24 × 210,881.20
  4. Step 4: Simplify right side
    380,657.20x = 110,772,992,634.69
  5. Step 5: Solve for x
    x = 110,772,992,634.69/380,657.20
  6. Step 6: Final answer
    x = 291,004.59

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