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Finding the Fourth Proportional to 275,423.60, 413,135.40 and 263,759.60

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Solution

The fourth proportional to 275,423.60, 413,135.40 and 263,759.60 is: 395,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,423.60 : 413,135.40 = 263,759.60 : x
  2. Step 2: Convert to fraction form
    275,423.60/413,135.40 = 263,759.60/x
  3. Step 3: Cross multiply
    275,423.60x = 413,135.40 × 263,759.60
  4. Step 4: Simplify right side
    275,423.60x = 108,968,427,849.84
  5. Step 5: Solve for x
    x = 108,968,427,849.84/275,423.60
  6. Step 6: Final answer
    x = 395,639.40

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1.5x scale

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.