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Finding the Fourth Proportional to 230,841.60, 346,262.40 and 205,958.40

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Solution

The fourth proportional to 230,841.60, 346,262.40 and 205,958.40 is: 308,937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,841.60 : 346,262.40 = 205,958.40 : x
  2. Step 2: Convert to fraction form
    230,841.60/346,262.40 = 205,958.40/x
  3. Step 3: Cross multiply
    230,841.60x = 346,262.40 × 205,958.40
  4. Step 4: Simplify right side
    230,841.60x = 71,315,649,884.16
  5. Step 5: Solve for x
    x = 71,315,649,884.16/230,841.60
  6. Step 6: Final answer
    x = 308,937.60

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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.