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Finding the Fourth Proportional to 397,266.84, 595,900.02 and 116,784.12

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Solution

The fourth proportional to 397,266.84, 595,900.02 and 116,784.12 is: 175,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,266.84 : 595,900.02 = 116,784.12 : x
  2. Step 2: Convert to fraction form
    397,266.84/595,900.02 = 116,784.12/x
  3. Step 3: Cross multiply
    397,266.84x = 595,900.02 × 116,784.12
  4. Step 4: Simplify right side
    397,266.84x = 69,591,659,443.68
  5. Step 5: Solve for x
    x = 69,591,659,443.68/397,266.84
  6. Step 6: Final answer
    x = 175,176.11

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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.