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Finding the Fourth Proportional to 274,315.80, 411,296.10 and 116,501.40

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Solution

The fourth proportional to 274,315.80, 411,296.10 and 116,501.40 is: 174,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,315.80 : 411,296.10 = 116,501.40 : x
  2. Step 2: Convert to fraction form
    274,315.80/411,296.10 = 116,501.40/x
  3. Step 3: Cross multiply
    274,315.80x = 411,296.10 × 116,501.40
  4. Step 4: Simplify right side
    274,315.80x = 47,916,571,464.54
  5. Step 5: Solve for x
    x = 47,916,571,464.54/274,315.80
  6. Step 6: Final answer
    x = 174,676.67

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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.