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Finding the Fourth Proportional to 285,484.56, 428,289.48 and 117,006

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Solution

The fourth proportional to 285,484.56, 428,289.48 and 117,006 is: 175,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,484.56 : 428,289.48 = 117,006 : x
  2. Step 2: Convert to fraction form
    285,484.56/428,289.48 = 117,006/x
  3. Step 3: Cross multiply
    285,484.56x = 428,289.48 × 117,006
  4. Step 4: Simplify right side
    285,484.56x = 50,112,438,896.88
  5. Step 5: Solve for x
    x = 50,112,438,896.88/285,484.56
  6. Step 6: Final answer
    x = 175,534.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.