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Finding the Fourth Proportional to 451,629.76, 677,444.94 and 114,695.68

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Solution

The fourth proportional to 451,629.76, 677,444.94 and 114,695.68 is: 172,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,629.76 : 677,444.94 = 114,695.68 : x
  2. Step 2: Convert to fraction form
    451,629.76/677,444.94 = 114,695.68/x
  3. Step 3: Cross multiply
    451,629.76x = 677,444.94 × 114,695.68
  4. Step 4: Simplify right side
    451,629.76x = 77,700,008,055.86
  5. Step 5: Solve for x
    x = 77,700,008,055.86/451,629.76
  6. Step 6: Final answer
    x = 172,043.60

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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.