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Finding the Fourth Proportional to 393,378.94, 542,862.14 and 221,297.03

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Solution

The fourth proportional to 393,378.94, 542,862.14 and 221,297.03 is: 305,389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,378.94 : 542,862.14 = 221,297.03 : x
  2. Step 2: Convert to fraction form
    393,378.94/542,862.14 = 221,297.03/x
  3. Step 3: Cross multiply
    393,378.94x = 542,862.14 × 221,297.03
  4. Step 4: Simplify right side
    393,378.94x = 120,133,777,496.38
  5. Step 5: Solve for x
    x = 120,133,777,496.38/393,378.94
  6. Step 6: Final answer
    x = 305,389.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.