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Finding the Fourth Proportional to 446,431.23, 669,643.17 and 180,187.67

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Solution

The fourth proportional to 446,431.23, 669,643.17 and 180,187.67 is: 270,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,431.23 : 669,643.17 = 180,187.67 : x
  2. Step 2: Convert to fraction form
    446,431.23/669,643.17 = 180,187.67/x
  3. Step 3: Cross multiply
    446,431.23x = 669,643.17 × 180,187.67
  4. Step 4: Simplify right side
    446,431.23x = 120,661,443,532.12
  5. Step 5: Solve for x
    x = 120,661,443,532.12/446,431.23
  6. Step 6: Final answer
    x = 270,280.02

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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.