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Finding the Fourth Proportional to 230,816.60, 346,224.90 and 199,712.60

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Solution

The fourth proportional to 230,816.60, 346,224.90 and 199,712.60 is: 299,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,816.60 : 346,224.90 = 199,712.60 : x
  2. Step 2: Convert to fraction form
    230,816.60/346,224.90 = 199,712.60/x
  3. Step 3: Cross multiply
    230,816.60x = 346,224.90 × 199,712.60
  4. Step 4: Simplify right side
    230,816.60x = 69,145,474,963.74
  5. Step 5: Solve for x
    x = 69,145,474,963.74/230,816.60
  6. Step 6: Final answer
    x = 299,568.90

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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.