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Finding the Fourth Proportional to 412,321.06, 568,993.44 and 242,566.12

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Solution

The fourth proportional to 412,321.06, 568,993.44 and 242,566.12 is: 334,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,321.06 : 568,993.44 = 242,566.12 : x
  2. Step 2: Convert to fraction form
    412,321.06/568,993.44 = 242,566.12/x
  3. Step 3: Cross multiply
    412,321.06x = 568,993.44 × 242,566.12
  4. Step 4: Simplify right side
    412,321.06x = 138,018,531,046.25
  5. Step 5: Solve for x
    x = 138,018,531,046.25/412,321.06
  6. Step 6: Final answer
    x = 334,735.58

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1.5x scale

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.