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Finding the Fourth Proportional to 357,745.98, 493,708.38 and 202,727.37

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Solution

The fourth proportional to 357,745.98, 493,708.38 and 202,727.37 is: 279,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,745.98 : 493,708.38 = 202,727.37 : x
  2. Step 2: Convert to fraction form
    357,745.98/493,708.38 = 202,727.37/x
  3. Step 3: Cross multiply
    357,745.98x = 493,708.38 × 202,727.37
  4. Step 4: Simplify right side
    357,745.98x = 100,088,198,195.59
  5. Step 5: Solve for x
    x = 100,088,198,195.59/357,745.98
  6. Step 6: Final answer
    x = 279,774.48

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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.