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Finding the Fourth Proportional to 340,582.96, 470,019.08 and 189,679.96

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Solution

The fourth proportional to 340,582.96, 470,019.08 and 189,679.96 is: 261,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,582.96 : 470,019.08 = 189,679.96 : x
  2. Step 2: Convert to fraction form
    340,582.96/470,019.08 = 189,679.96/x
  3. Step 3: Cross multiply
    340,582.96x = 470,019.08 × 189,679.96
  4. Step 4: Simplify right side
    340,582.96x = 89,153,200,293.64
  5. Step 5: Solve for x
    x = 89,153,200,293.64/340,582.96
  6. Step 6: Final answer
    x = 261,766.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.