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Finding the Fourth Proportional to 230,015.40, 345,023.10 and 174,028.20

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Solution

The fourth proportional to 230,015.40, 345,023.10 and 174,028.20 is: 261,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,015.40 : 345,023.10 = 174,028.20 : x
  2. Step 2: Convert to fraction form
    230,015.40/345,023.10 = 174,028.20/x
  3. Step 3: Cross multiply
    230,015.40x = 345,023.10 × 174,028.20
  4. Step 4: Simplify right side
    230,015.40x = 60,043,749,051.42
  5. Step 5: Solve for x
    x = 60,043,749,051.42/230,015.40
  6. Step 6: Final answer
    x = 261,042.30

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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.