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Finding the Fourth Proportional to 490,654.02, 735,980.76 and 130,825.02

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Solution

The fourth proportional to 490,654.02, 735,980.76 and 130,825.02 is: 196,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,654.02 : 735,980.76 = 130,825.02 : x
  2. Step 2: Convert to fraction form
    490,654.02/735,980.76 = 130,825.02/x
  3. Step 3: Cross multiply
    490,654.02x = 735,980.76 × 130,825.02
  4. Step 4: Simplify right side
    490,654.02x = 96,284,697,646.62
  5. Step 5: Solve for x
    x = 96,284,697,646.62/490,654.02
  6. Step 6: Final answer
    x = 196,237.46

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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.