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Finding the Fourth Proportional to 329,054.75, 493,582.20 and 118,692.67

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Solution

The fourth proportional to 329,054.75, 493,582.20 and 118,692.67 is: 178,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,054.75 : 493,582.20 = 118,692.67 : x
  2. Step 2: Convert to fraction form
    329,054.75/493,582.20 = 118,692.67/x
  3. Step 3: Cross multiply
    329,054.75x = 493,582.20 × 118,692.67
  4. Step 4: Simplify right side
    329,054.75x = 58,584,586,121.10
  5. Step 5: Solve for x
    x = 58,584,586,121.10/329,054.75
  6. Step 6: Final answer
    x = 178,039.02

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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.