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Finding the Fourth Proportional to 427,625.58, 590,083.14 and 255,509.28

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Solution

The fourth proportional to 427,625.58, 590,083.14 and 255,509.28 is: 352,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,625.58 : 590,083.14 = 255,509.28 : x
  2. Step 2: Convert to fraction form
    427,625.58/590,083.14 = 255,509.28/x
  3. Step 3: Cross multiply
    427,625.58x = 590,083.14 × 255,509.28
  4. Step 4: Simplify right side
    427,625.58x = 150,771,718,241.54
  5. Step 5: Solve for x
    x = 150,771,718,241.54/427,625.58
  6. Step 6: Final answer
    x = 352,578.81

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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.