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Finding the Fourth Proportional to 467,245.20, 700,984.80 and 134,821.20

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Solution

The fourth proportional to 467,245.20, 700,984.80 and 134,821.20 is: 202,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,245.20 : 700,984.80 = 134,821.20 : x
  2. Step 2: Convert to fraction form
    467,245.20/700,984.80 = 134,821.20/x
  3. Step 3: Cross multiply
    467,245.20x = 700,984.80 × 134,821.20
  4. Step 4: Simplify right side
    467,245.20x = 94,507,611,917.76
  5. Step 5: Solve for x
    x = 94,507,611,917.76/467,245.20
  6. Step 6: Final answer
    x = 202,265.56

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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.