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Finding the Fourth Proportional to 382,824.98, 528,287.40 and 213,055.46

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Solution

The fourth proportional to 382,824.98, 528,287.40 and 213,055.46 is: 294,010.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,824.98 : 528,287.40 = 213,055.46 : x
  2. Step 2: Convert to fraction form
    382,824.98/528,287.40 = 213,055.46/x
  3. Step 3: Cross multiply
    382,824.98x = 528,287.40 × 213,055.46
  4. Step 4: Simplify right side
    382,824.98x = 112,554,515,019.20
  5. Step 5: Solve for x
    x = 112,554,515,019.20/382,824.98
  6. Step 6: Final answer
    x = 294,010.37

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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.