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Finding the Fourth Proportional to 265,819.14, 398,277.36 and 160,416.63

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Solution

The fourth proportional to 265,819.14, 398,277.36 and 160,416.63 is: 240,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,819.14 : 398,277.36 = 160,416.63 : x
  2. Step 2: Convert to fraction form
    265,819.14/398,277.36 = 160,416.63/x
  3. Step 3: Cross multiply
    265,819.14x = 398,277.36 × 160,416.63
  4. Step 4: Simplify right side
    265,819.14x = 63,890,311,896.50
  5. Step 5: Solve for x
    x = 63,890,311,896.50/265,819.14
  6. Step 6: Final answer
    x = 240,352.56

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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.