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Finding the Fourth Proportional to 393,057.40, 542,438.45 and 221,029.51

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Solution

The fourth proportional to 393,057.40, 542,438.45 and 221,029.51 is: 305,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,057.40 : 542,438.45 = 221,029.51 : x
  2. Step 2: Convert to fraction form
    393,057.40/542,438.45 = 221,029.51/x
  3. Step 3: Cross multiply
    393,057.40x = 542,438.45 × 221,029.51
  4. Step 4: Simplify right side
    393,057.40x = 119,894,904,808.66
  5. Step 5: Solve for x
    x = 119,894,904,808.66/393,057.40
  6. Step 6: Final answer
    x = 305,031.54

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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.