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Finding the Fourth Proportional to 427,724.40, 641,586.60 and 307,455.60

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Solution

The fourth proportional to 427,724.40, 641,586.60 and 307,455.60 is: 461,183.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,724.40 : 641,586.60 = 307,455.60 : x
  2. Step 2: Convert to fraction form
    427,724.40/641,586.60 = 307,455.60/x
  3. Step 3: Cross multiply
    427,724.40x = 641,586.60 × 307,455.60
  4. Step 4: Simplify right side
    427,724.40x = 197,259,393,054.96
  5. Step 5: Solve for x
    x = 197,259,393,054.96/427,724.40
  6. Step 6: Final answer
    x = 461,183.40

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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.