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Finding the Fourth Proportional to 262,057.96, 392,879.58 and 261,735.40

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Solution

The fourth proportional to 262,057.96, 392,879.58 and 261,735.40 is: 392,396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,057.96 : 392,879.58 = 261,735.40 : x
  2. Step 2: Convert to fraction form
    262,057.96/392,879.58 = 261,735.40/x
  3. Step 3: Cross multiply
    262,057.96x = 392,879.58 × 261,735.40
  4. Step 4: Simplify right side
    262,057.96x = 102,830,494,023.13
  5. Step 5: Solve for x
    x = 102,830,494,023.13/262,057.96
  6. Step 6: Final answer
    x = 392,396.00

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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.