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Finding the Fourth Proportional to 263,598.64, 395,394.52 and 105,824.24

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Solution

The fourth proportional to 263,598.64, 395,394.52 and 105,824.24 is: 158,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,598.64 : 395,394.52 = 105,824.24 : x
  2. Step 2: Convert to fraction form
    263,598.64/395,394.52 = 105,824.24/x
  3. Step 3: Cross multiply
    263,598.64x = 395,394.52 × 105,824.24
  4. Step 4: Simplify right side
    263,598.64x = 41,842,324,579.16
  5. Step 5: Solve for x
    x = 41,842,324,579.16/263,598.64
  6. Step 6: Final answer
    x = 158,734.98

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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.