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Finding the Fourth Proportional to 340,578.96, 470,013.54 and 189,675.96

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Solution

The fourth proportional to 340,578.96, 470,013.54 and 189,675.96 is: 261,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,578.96 : 470,013.54 = 189,675.96 : x
  2. Step 2: Convert to fraction form
    340,578.96/470,013.54 = 189,675.96/x
  3. Step 3: Cross multiply
    340,578.96x = 470,013.54 × 189,675.96
  4. Step 4: Simplify right side
    340,578.96x = 89,150,269,412.50
  5. Step 5: Solve for x
    x = 89,150,269,412.50/340,578.96
  6. Step 6: Final answer
    x = 261,760.94

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1.5x scale

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.