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Finding the Fourth Proportional to 468,014.40, 702,021.60 and 419,025.60

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Solution

The fourth proportional to 468,014.40, 702,021.60 and 419,025.60 is: 628,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,014.40 : 702,021.60 = 419,025.60 : x
  2. Step 2: Convert to fraction form
    468,014.40/702,021.60 = 419,025.60/x
  3. Step 3: Cross multiply
    468,014.40x = 702,021.60 × 419,025.60
  4. Step 4: Simplify right side
    468,014.40x = 294,165,022,152.96
  5. Step 5: Solve for x
    x = 294,165,022,152.96/468,014.40
  6. Step 6: Final answer
    x = 628,538.40

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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.