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Finding the Fourth Proportional to 393,138.24, 542,514.69 and 221,051.31

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Solution

The fourth proportional to 393,138.24, 542,514.69 and 221,051.31 is: 305,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,138.24 : 542,514.69 = 221,051.31 : x
  2. Step 2: Convert to fraction form
    393,138.24/542,514.69 = 221,051.31/x
  3. Step 3: Cross multiply
    393,138.24x = 542,514.69 × 221,051.31
  4. Step 4: Simplify right side
    393,138.24x = 119,923,582,918.74
  5. Step 5: Solve for x
    x = 119,923,582,918.74/393,138.24
  6. Step 6: Final answer
    x = 305,041.77

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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.