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Finding the Fourth Proportional to 273,641.37, 410,462.05 and 199,235.02

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Solution

The fourth proportional to 273,641.37, 410,462.05 and 199,235.02 is: 298,852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,641.37 : 410,462.05 = 199,235.02 : x
  2. Step 2: Convert to fraction form
    273,641.37/410,462.05 = 199,235.02/x
  3. Step 3: Cross multiply
    273,641.37x = 410,462.05 × 199,235.02
  4. Step 4: Simplify right side
    273,641.37x = 81,778,414,256.16
  5. Step 5: Solve for x
    x = 81,778,414,256.16/273,641.37
  6. Step 6: Final answer
    x = 298,852.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.