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Finding the Fourth Proportional to 355,710.24, 490,853.52 and 194,556.96

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Solution

The fourth proportional to 355,710.24, 490,853.52 and 194,556.96 is: 268,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,710.24 : 490,853.52 = 194,556.96 : x
  2. Step 2: Convert to fraction form
    355,710.24/490,853.52 = 194,556.96/x
  3. Step 3: Cross multiply
    355,710.24x = 490,853.52 × 194,556.96
  4. Step 4: Simplify right side
    355,710.24x = 95,498,968,656.50
  5. Step 5: Solve for x
    x = 95,498,968,656.50/355,710.24
  6. Step 6: Final answer
    x = 268,474.05

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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.