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Finding the Fourth Proportional to 451,695.94, 677,608.24 and 148,025.04

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Solution

The fourth proportional to 451,695.94, 677,608.24 and 148,025.04 is: 222,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,695.94 : 677,608.24 = 148,025.04 : x
  2. Step 2: Convert to fraction form
    451,695.94/677,608.24 = 148,025.04/x
  3. Step 3: Cross multiply
    451,695.94x = 677,608.24 × 148,025.04
  4. Step 4: Simplify right side
    451,695.94x = 100,302,986,830.33
  5. Step 5: Solve for x
    x = 100,302,986,830.33/451,695.94
  6. Step 6: Final answer
    x = 222,058.64

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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.