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Finding the Fourth Proportional to 463,284.32, 695,028.60 and 263,698.76

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Solution

The fourth proportional to 463,284.32, 695,028.60 and 263,698.76 is: 395,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,284.32 : 695,028.60 = 263,698.76 : x
  2. Step 2: Convert to fraction form
    463,284.32/695,028.60 = 263,698.76/x
  3. Step 3: Cross multiply
    463,284.32x = 695,028.60 × 263,698.76
  4. Step 4: Simplify right side
    463,284.32x = 183,278,179,984.54
  5. Step 5: Solve for x
    x = 183,278,179,984.54/463,284.32
  6. Step 6: Final answer
    x = 395,606.27

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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.