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Finding the Fourth Proportional to 471,814.60, 708,013.50 and 191,334.28

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Solution

The fourth proportional to 471,814.60, 708,013.50 and 191,334.28 is: 287,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,814.60 : 708,013.50 = 191,334.28 : x
  2. Step 2: Convert to fraction form
    471,814.60/708,013.50 = 191,334.28/x
  3. Step 3: Cross multiply
    471,814.60x = 708,013.50 × 191,334.28
  4. Step 4: Simplify right side
    471,814.60x = 135,467,253,252.78
  5. Step 5: Solve for x
    x = 135,467,253,252.78/471,814.60
  6. Step 6: Final answer
    x = 287,119.67

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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.