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Finding the Fourth Proportional to 410,861.10, 616,291.67 and 111,341.67

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Solution

The fourth proportional to 410,861.10, 616,291.67 and 111,341.67 is: 167,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,861.10 : 616,291.67 = 111,341.67 : x
  2. Step 2: Convert to fraction form
    410,861.10/616,291.67 = 111,341.67/x
  3. Step 3: Cross multiply
    410,861.10x = 616,291.67 × 111,341.67
  4. Step 4: Simplify right side
    410,861.10x = 68,618,943,744.89
  5. Step 5: Solve for x
    x = 68,618,943,744.89/410,861.10
  6. Step 6: Final answer
    x = 167,012.51

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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.