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Finding the Fourth Proportional to 230,939.80, 346,409.70 and 197,114.20

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Solution

The fourth proportional to 230,939.80, 346,409.70 and 197,114.20 is: 295,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,939.80 : 346,409.70 = 197,114.20 : x
  2. Step 2: Convert to fraction form
    230,939.80/346,409.70 = 197,114.20/x
  3. Step 3: Cross multiply
    230,939.80x = 346,409.70 × 197,114.20
  4. Step 4: Simplify right side
    230,939.80x = 68,282,270,887.74
  5. Step 5: Solve for x
    x = 68,282,270,887.74/230,939.80
  6. Step 6: Final answer
    x = 295,671.30

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1.5x scale

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.