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Finding the Fourth Proportional to 295,662.60, 414,977.40 and 295,662.60

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Solution

The fourth proportional to 295,662.60, 414,977.40 and 295,662.60 is: 414,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,662.60 : 414,977.40 = 295,662.60 : x
  2. Step 2: Convert to fraction form
    295,662.60/414,977.40 = 295,662.60/x
  3. Step 3: Cross multiply
    295,662.60x = 414,977.40 × 295,662.60
  4. Step 4: Simplify right side
    295,662.60x = 122,693,297,025.24
  5. Step 5: Solve for x
    x = 122,693,297,025.24/295,662.60
  6. Step 6: Final answer
    x = 414,977.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.