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Finding the Fourth Proportional to 331,647.40, 497,373.90 and 154,111.60

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Solution

The fourth proportional to 331,647.40, 497,373.90 and 154,111.60 is: 231,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,647.40 : 497,373.90 = 154,111.60 : x
  2. Step 2: Convert to fraction form
    331,647.40/497,373.90 = 154,111.60/x
  3. Step 3: Cross multiply
    331,647.40x = 497,373.90 × 154,111.60
  4. Step 4: Simplify right side
    331,647.40x = 76,651,087,527.24
  5. Step 5: Solve for x
    x = 76,651,087,527.24/331,647.40
  6. Step 6: Final answer
    x = 231,122.23

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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.