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Finding the Fourth Proportional to 340,581.96, 470,017.68 and 189,678.96

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Solution

The fourth proportional to 340,581.96, 470,017.68 and 189,678.96 is: 261,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,581.96 : 470,017.68 = 189,678.96 : x
  2. Step 2: Convert to fraction form
    340,581.96/470,017.68 = 189,678.96/x
  3. Step 3: Cross multiply
    340,581.96x = 470,017.68 × 189,678.96
  4. Step 4: Simplify right side
    340,581.96x = 89,152,464,724.01
  5. Step 5: Solve for x
    x = 89,152,464,724.01/340,581.96
  6. Step 6: Final answer
    x = 261,765.08

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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.