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Finding the Fourth Proportional to 382,825.62, 528,290.37 and 213,056.10

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Solution

The fourth proportional to 382,825.62, 528,290.37 and 213,056.10 is: 294,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,825.62 : 528,290.37 = 213,056.10 : x
  2. Step 2: Convert to fraction form
    382,825.62/528,290.37 = 213,056.10/x
  3. Step 3: Cross multiply
    382,825.62x = 528,290.37 × 213,056.10
  4. Step 4: Simplify right side
    382,825.62x = 112,555,485,899.76
  5. Step 5: Solve for x
    x = 112,555,485,899.76/382,825.62
  6. Step 6: Final answer
    x = 294,012.42

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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.