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Finding the Fourth Proportional to 505,993.93, 697,819.63 and 419,816.48

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Solution

The fourth proportional to 505,993.93, 697,819.63 and 419,816.48 is: 578,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,993.93 : 697,819.63 = 419,816.48 : x
  2. Step 2: Convert to fraction form
    505,993.93/697,819.63 = 419,816.48/x
  3. Step 3: Cross multiply
    505,993.93x = 697,819.63 × 419,816.48
  4. Step 4: Simplify right side
    505,993.93x = 292,956,179,101.21
  5. Step 5: Solve for x
    x = 292,956,179,101.21/505,993.93
  6. Step 6: Final answer
    x = 578,971.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.