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Finding the Fourth Proportional to 490,552.42, 677,147.34 and 286,669.76

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Solution

The fourth proportional to 490,552.42, 677,147.34 and 286,669.76 is: 395,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,552.42 : 677,147.34 = 286,669.76 : x
  2. Step 2: Convert to fraction form
    490,552.42/677,147.34 = 286,669.76/x
  3. Step 3: Cross multiply
    490,552.42x = 677,147.34 × 286,669.76
  4. Step 4: Simplify right side
    490,552.42x = 194,117,665,442.44
  5. Step 5: Solve for x
    x = 194,117,665,442.44/490,552.42
  6. Step 6: Final answer
    x = 395,712.38

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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.