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Finding the Fourth Proportional to 230,923.60, 346,385.40 and 193,598.80

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Solution

The fourth proportional to 230,923.60, 346,385.40 and 193,598.80 is: 290,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,923.60 : 346,385.40 = 193,598.80 : x
  2. Step 2: Convert to fraction form
    230,923.60/346,385.40 = 193,598.80/x
  3. Step 3: Cross multiply
    230,923.60x = 346,385.40 × 193,598.80
  4. Step 4: Simplify right side
    230,923.60x = 67,059,797,777.52
  5. Step 5: Solve for x
    x = 67,059,797,777.52/230,923.60
  6. Step 6: Final answer
    x = 290,398.20

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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.