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Finding the Fourth Proportional to 426,783.12, 589,022.39 and 254,708.39

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Solution

The fourth proportional to 426,783.12, 589,022.39 and 254,708.39 is: 351,534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,783.12 : 589,022.39 = 254,708.39 : x
  2. Step 2: Convert to fraction form
    426,783.12/589,022.39 = 254,708.39/x
  3. Step 3: Cross multiply
    426,783.12x = 589,022.39 × 254,708.39
  4. Step 4: Simplify right side
    426,783.12x = 150,028,944,630.85
  5. Step 5: Solve for x
    x = 150,028,944,630.85/426,783.12
  6. Step 6: Final answer
    x = 351,534.39

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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.