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Finding the Fourth Proportional to 260,564.58, 390,550.41 and 110,711.34

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Solution

The fourth proportional to 260,564.58, 390,550.41 and 110,711.34 is: 165,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,564.58 : 390,550.41 = 110,711.34 : x
  2. Step 2: Convert to fraction form
    260,564.58/390,550.41 = 110,711.34/x
  3. Step 3: Cross multiply
    260,564.58x = 390,550.41 × 110,711.34
  4. Step 4: Simplify right side
    260,564.58x = 43,238,359,228.65
  5. Step 5: Solve for x
    x = 43,238,359,228.65/260,564.58
  6. Step 6: Final answer
    x = 165,941.05

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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.