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Finding the Fourth Proportional to 382,974.54, 528,494.54 and 213,208.68

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Solution

The fourth proportional to 382,974.54, 528,494.54 and 213,208.68 is: 294,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,974.54 : 528,494.54 = 213,208.68 : x
  2. Step 2: Convert to fraction form
    382,974.54/528,494.54 = 213,208.68/x
  3. Step 3: Cross multiply
    382,974.54x = 528,494.54 × 213,208.68
  4. Step 4: Simplify right side
    382,974.54x = 112,679,623,260.61
  5. Step 5: Solve for x
    x = 112,679,623,260.61/382,974.54
  6. Step 6: Final answer
    x = 294,222.23

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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.