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Finding the Fourth Proportional to 340,580.96, 470,016.30 and 189,677.96

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Solution

The fourth proportional to 340,580.96, 470,016.30 and 189,677.96 is: 261,763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,580.96 : 470,016.30 = 189,677.96 : x
  2. Step 2: Convert to fraction form
    340,580.96/470,016.30 = 189,677.96/x
  3. Step 3: Cross multiply
    340,580.96x = 470,016.30 × 189,677.96
  4. Step 4: Simplify right side
    340,580.96x = 89,151,732,950.75
  5. Step 5: Solve for x
    x = 89,151,732,950.75/340,580.96
  6. Step 6: Final answer
    x = 261,763.70

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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.