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Finding the Fourth Proportional to 421,211.61, 631,462.01 and 196,453.62

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Solution

The fourth proportional to 421,211.61, 631,462.01 and 196,453.62 is: 294,514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,211.61 : 631,462.01 = 196,453.62 : x
  2. Step 2: Convert to fraction form
    421,211.61/631,462.01 = 196,453.62/x
  3. Step 3: Cross multiply
    421,211.61x = 631,462.01 × 196,453.62
  4. Step 4: Simplify right side
    421,211.61x = 124,052,996,774.71
  5. Step 5: Solve for x
    x = 124,052,996,774.71/421,211.61
  6. Step 6: Final answer
    x = 294,514.67

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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.