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Finding the Fourth Proportional to 301,126.86, 451,731.60 and 174,826.44

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Solution

The fourth proportional to 301,126.86, 451,731.60 and 174,826.44 is: 262,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,126.86 : 451,731.60 = 174,826.44 : x
  2. Step 2: Convert to fraction form
    301,126.86/451,731.60 = 174,826.44/x
  3. Step 3: Cross multiply
    301,126.86x = 451,731.60 × 174,826.44
  4. Step 4: Simplify right side
    301,126.86x = 78,974,627,463.50
  5. Step 5: Solve for x
    x = 78,974,627,463.50/301,126.86
  6. Step 6: Final answer
    x = 262,263.64

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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.