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Finding the Fourth Proportional to 412,325.53, 617,438.18 and 271,657.69

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Solution

The fourth proportional to 412,325.53, 617,438.18 and 271,657.69 is: 406,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,325.53 : 617,438.18 = 271,657.69 : x
  2. Step 2: Convert to fraction form
    412,325.53/617,438.18 = 271,657.69/x
  3. Step 3: Cross multiply
    412,325.53x = 617,438.18 × 271,657.69
  4. Step 4: Simplify right side
    412,325.53x = 167,731,828,338.32
  5. Step 5: Solve for x
    x = 167,731,828,338.32/412,325.53
  6. Step 6: Final answer
    x = 406,794.67

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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.