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Finding the Fourth Proportional to 650,260.26, 975,670.66 and 271,255.60

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Solution

The fourth proportional to 650,260.26, 975,670.66 and 271,255.60 is: 407,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,260.26 : 975,670.66 = 271,255.60 : x
  2. Step 2: Convert to fraction form
    650,260.26/975,670.66 = 271,255.60/x
  3. Step 3: Cross multiply
    650,260.26x = 975,670.66 × 271,255.60
  4. Step 4: Simplify right side
    650,260.26x = 264,656,130,280.70
  5. Step 5: Solve for x
    x = 264,656,130,280.70/650,260.26
  6. Step 6: Final answer
    x = 407,000.31

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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.