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Finding the Fourth Proportional to 330,002.60, 494,906.70 and 130,256.60

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Solution

The fourth proportional to 330,002.60, 494,906.70 and 130,256.60 is: 195,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,002.60 : 494,906.70 = 130,256.60 : x
  2. Step 2: Convert to fraction form
    330,002.60/494,906.70 = 130,256.60/x
  3. Step 3: Cross multiply
    330,002.60x = 494,906.70 × 130,256.60
  4. Step 4: Simplify right side
    330,002.60x = 64,464,864,059.22
  5. Step 5: Solve for x
    x = 64,464,864,059.22/330,002.60
  6. Step 6: Final answer
    x = 195,346.53

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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.