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Finding the Fourth Proportional to 638,453.76, 957,695.20 and 189,166.20

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Solution

The fourth proportional to 638,453.76, 957,695.20 and 189,166.20 is: 283,753.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,453.76 : 957,695.20 = 189,166.20 : x
  2. Step 2: Convert to fraction form
    638,453.76/957,695.20 = 189,166.20/x
  3. Step 3: Cross multiply
    638,453.76x = 957,695.20 × 189,166.20
  4. Step 4: Simplify right side
    638,453.76x = 181,163,561,742.24
  5. Step 5: Solve for x
    x = 181,163,561,742.24/638,453.76
  6. Step 6: Final answer
    x = 283,753.61

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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.