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Finding the Fourth Proportional to 301,100.40, 451,650.60 and 242,051.40

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Solution

The fourth proportional to 301,100.40, 451,650.60 and 242,051.40 is: 363,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,100.40 : 451,650.60 = 242,051.40 : x
  2. Step 2: Convert to fraction form
    301,100.40/451,650.60 = 242,051.40/x
  3. Step 3: Cross multiply
    301,100.40x = 451,650.60 × 242,051.40
  4. Step 4: Simplify right side
    301,100.40x = 109,322,660,040.84
  5. Step 5: Solve for x
    x = 109,322,660,040.84/301,100.40
  6. Step 6: Final answer
    x = 363,077.10

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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.