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Finding the Fourth Proportional to 492,706.55, 739,081.70 and 193,160.45

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Solution

The fourth proportional to 492,706.55, 739,081.70 and 193,160.45 is: 289,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,706.55 : 739,081.70 = 193,160.45 : x
  2. Step 2: Convert to fraction form
    492,706.55/739,081.70 = 193,160.45/x
  3. Step 3: Cross multiply
    492,706.55x = 739,081.70 × 193,160.45
  4. Step 4: Simplify right side
    492,706.55x = 142,761,353,758.77
  5. Step 5: Solve for x
    x = 142,761,353,758.77/492,706.55
  6. Step 6: Final answer
    x = 289,749.25

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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.