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Finding the Fourth Proportional to 380,063.73, 570,260.94 and 238,234.02

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Solution

The fourth proportional to 380,063.73, 570,260.94 and 238,234.02 is: 357,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,063.73 : 570,260.94 = 238,234.02 : x
  2. Step 2: Convert to fraction form
    380,063.73/570,260.94 = 238,234.02/x
  3. Step 3: Cross multiply
    380,063.73x = 570,260.94 × 238,234.02
  4. Step 4: Simplify right side
    380,063.73x = 135,855,556,185.18
  5. Step 5: Solve for x
    x = 135,855,556,185.18/380,063.73
  6. Step 6: Final answer
    x = 357,454.67

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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.