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Finding the Fourth Proportional to 301,274.82, 451,643.76 and 114,417.54

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Solution

The fourth proportional to 301,274.82, 451,643.76 and 114,417.54 is: 171,524.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,274.82 : 451,643.76 = 114,417.54 : x
  2. Step 2: Convert to fraction form
    301,274.82/451,643.76 = 114,417.54/x
  3. Step 3: Cross multiply
    301,274.82x = 451,643.76 × 114,417.54
  4. Step 4: Simplify right side
    301,274.82x = 51,675,967,975.55
  5. Step 5: Solve for x
    x = 51,675,967,975.55/301,274.82
  6. Step 6: Final answer
    x = 171,524.35

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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.