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Finding the Fourth Proportional to 341,998.48, 512,971.80 and 120,226.96

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Solution

The fourth proportional to 341,998.48, 512,971.80 and 120,226.96 is: 180,331.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,998.48 : 512,971.80 = 120,226.96 : x
  2. Step 2: Convert to fraction form
    341,998.48/512,971.80 = 120,226.96/x
  3. Step 3: Cross multiply
    341,998.48x = 512,971.80 × 120,226.96
  4. Step 4: Simplify right side
    341,998.48x = 61,673,040,079.73
  5. Step 5: Solve for x
    x = 61,673,040,079.73/341,998.48
  6. Step 6: Final answer
    x = 180,331.33

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1.5x scale

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.