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Finding the Fourth Proportional to 475,930.52, 713,608.16 and 223,266.40

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Solution

The fourth proportional to 475,930.52, 713,608.16 and 223,266.40 is: 334,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,930.52 : 713,608.16 = 223,266.40 : x
  2. Step 2: Convert to fraction form
    475,930.52/713,608.16 = 223,266.40/x
  3. Step 3: Cross multiply
    475,930.52x = 713,608.16 × 223,266.40
  4. Step 4: Simplify right side
    475,930.52x = 159,324,724,893.82
  5. Step 5: Solve for x
    x = 159,324,724,893.82/475,930.52
  6. Step 6: Final answer
    x = 334,764.67

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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.