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Finding the Fourth Proportional to 301,114.24, 451,712.67 and 174,813.77

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Solution

The fourth proportional to 301,114.24, 451,712.67 and 174,813.77 is: 262,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,114.24 : 451,712.67 = 174,813.77 : x
  2. Step 2: Convert to fraction form
    301,114.24/451,712.67 = 174,813.77/x
  3. Step 3: Cross multiply
    301,114.24x = 451,712.67 × 174,813.77
  4. Step 4: Simplify right side
    301,114.24x = 78,965,593,925.40
  5. Step 5: Solve for x
    x = 78,965,593,925.40/301,114.24
  6. Step 6: Final answer
    x = 262,244.64

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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.