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Finding the Fourth Proportional to 469,785.83, 704,676.00 and 170,196.44

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Solution

The fourth proportional to 469,785.83, 704,676.00 and 170,196.44 is: 255,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,785.83 : 704,676.00 = 170,196.44 : x
  2. Step 2: Convert to fraction form
    469,785.83/704,676.00 = 170,196.44/x
  3. Step 3: Cross multiply
    469,785.83x = 704,676.00 × 170,196.44
  4. Step 4: Simplify right side
    469,785.83x = 119,933,347,632.10
  5. Step 5: Solve for x
    x = 119,933,347,632.10/469,785.83
  6. Step 6: Final answer
    x = 255,293.67

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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.