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Finding the Fourth Proportional to 274,653.40, 411,980.10 and 108,419.80

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Solution

The fourth proportional to 274,653.40, 411,980.10 and 108,419.80 is: 162,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,653.40 : 411,980.10 = 108,419.80 : x
  2. Step 2: Convert to fraction form
    274,653.40/411,980.10 = 108,419.80/x
  3. Step 3: Cross multiply
    274,653.40x = 411,980.10 × 108,419.80
  4. Step 4: Simplify right side
    274,653.40x = 44,666,800,045.98
  5. Step 5: Solve for x
    x = 44,666,800,045.98/274,653.40
  6. Step 6: Final answer
    x = 162,629.70

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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.