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Finding the Fourth Proportional to 571,313.82, 856,973.76 and 171,951.84

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Solution

The fourth proportional to 571,313.82, 856,973.76 and 171,951.84 is: 257,928.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,313.82 : 856,973.76 = 171,951.84 : x
  2. Step 2: Convert to fraction form
    571,313.82/856,973.76 = 171,951.84/x
  3. Step 3: Cross multiply
    571,313.82x = 856,973.76 × 171,951.84
  4. Step 4: Simplify right side
    571,313.82x = 147,358,214,863.72
  5. Step 5: Solve for x
    x = 147,358,214,863.72/571,313.82
  6. Step 6: Final answer
    x = 257,928.67

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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.