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Finding the Fourth Proportional to 411,954.12, 618,019.41 and 127,638.38

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Solution

The fourth proportional to 411,954.12, 618,019.41 and 127,638.38 is: 191,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,954.12 : 618,019.41 = 127,638.38 : x
  2. Step 2: Convert to fraction form
    411,954.12/618,019.41 = 127,638.38/x
  3. Step 3: Cross multiply
    411,954.12x = 618,019.41 × 127,638.38
  4. Step 4: Simplify right side
    411,954.12x = 78,882,993,210.86
  5. Step 5: Solve for x
    x = 78,882,993,210.86/411,954.12
  6. Step 6: Final answer
    x = 191,484.90

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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.