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Finding the Fourth Proportional to 492,214.70, 738,650.10 and 225,838.10

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Solution

The fourth proportional to 492,214.70, 738,650.10 and 225,838.10 is: 338,907.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,214.70 : 738,650.10 = 225,838.10 : x
  2. Step 2: Convert to fraction form
    492,214.70/738,650.10 = 225,838.10/x
  3. Step 3: Cross multiply
    492,214.70x = 738,650.10 × 225,838.10
  4. Step 4: Simplify right side
    492,214.70x = 166,815,335,148.81
  5. Step 5: Solve for x
    x = 166,815,335,148.81/492,214.70
  6. Step 6: Final answer
    x = 338,907.67

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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.