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Finding the Fourth Proportional to 380,200.23, 524,659.82 and 210,424.23

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Solution

The fourth proportional to 380,200.23, 524,659.82 and 210,424.23 is: 290,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,200.23 : 524,659.82 = 210,424.23 : x
  2. Step 2: Convert to fraction form
    380,200.23/524,659.82 = 210,424.23/x
  3. Step 3: Cross multiply
    380,200.23x = 524,659.82 × 210,424.23
  4. Step 4: Simplify right side
    380,200.23x = 110,401,137,583.32
  5. Step 5: Solve for x
    x = 110,401,137,583.32/380,200.23
  6. Step 6: Final answer
    x = 290,376.30

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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.