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Finding the Fourth Proportional to 380,092.72, 524,538.84 and 210,342.64

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Solution

The fourth proportional to 380,092.72, 524,538.84 and 210,342.64 is: 290,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,092.72 : 524,538.84 = 210,342.64 : x
  2. Step 2: Convert to fraction form
    380,092.72/524,538.84 = 210,342.64/x
  3. Step 3: Cross multiply
    380,092.72x = 524,538.84 × 210,342.64
  4. Step 4: Simplify right side
    380,092.72x = 110,332,884,388.14
  5. Step 5: Solve for x
    x = 110,332,884,388.14/380,092.72
  6. Step 6: Final answer
    x = 290,278.87

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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.