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Finding the Fourth Proportional to 260,394.99, 390,524.15 and 110,558.16

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Solution

The fourth proportional to 260,394.99, 390,524.15 and 110,558.16 is: 165,808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,394.99 : 390,524.15 = 110,558.16 : x
  2. Step 2: Convert to fraction form
    260,394.99/390,524.15 = 110,558.16/x
  3. Step 3: Cross multiply
    260,394.99x = 390,524.15 × 110,558.16
  4. Step 4: Simplify right side
    260,394.99x = 43,175,629,442.31
  5. Step 5: Solve for x
    x = 43,175,629,442.31/260,394.99
  6. Step 6: Final answer
    x = 165,808.22

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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.