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Finding the Fourth Proportional to 446,834.02, 670,728.53 and 180,768.46

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Solution

The fourth proportional to 446,834.02, 670,728.53 and 180,768.46 is: 271,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,834.02 : 670,728.53 = 180,768.46 : x
  2. Step 2: Convert to fraction form
    446,834.02/670,728.53 = 180,768.46/x
  3. Step 3: Cross multiply
    446,834.02x = 670,728.53 × 180,768.46
  4. Step 4: Simplify right side
    446,834.02x = 121,246,563,446.16
  5. Step 5: Solve for x
    x = 121,246,563,446.16/446,834.02
  6. Step 6: Final answer
    x = 271,345.86

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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.