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Finding the Fourth Proportional to 410,993.54, 616,431.54 and 141,116.63

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Solution

The fourth proportional to 410,993.54, 616,431.54 and 141,116.63 is: 211,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,993.54 : 616,431.54 = 141,116.63 : x
  2. Step 2: Convert to fraction form
    410,993.54/616,431.54 = 141,116.63/x
  3. Step 3: Cross multiply
    410,993.54x = 616,431.54 × 141,116.63
  4. Step 4: Simplify right side
    410,993.54x = 86,988,743,091.59
  5. Step 5: Solve for x
    x = 86,988,743,091.59/410,993.54
  6. Step 6: Final answer
    x = 211,654.77

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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.