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Finding the Fourth Proportional to 382,894.37, 574,427.21 and 116,675.72

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Solution

The fourth proportional to 382,894.37, 574,427.21 and 116,675.72 is: 175,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,894.37 : 574,427.21 = 116,675.72 : x
  2. Step 2: Convert to fraction form
    382,894.37/574,427.21 = 116,675.72/x
  3. Step 3: Cross multiply
    382,894.37x = 574,427.21 × 116,675.72
  4. Step 4: Simplify right side
    382,894.37x = 67,021,704,858.83
  5. Step 5: Solve for x
    x = 67,021,704,858.83/382,894.37
  6. Step 6: Final answer
    x = 175,039.67

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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.