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Finding the Fourth Proportional to 323,716.56, 446,697 and 180,463.20

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Solution

The fourth proportional to 323,716.56, 446,697 and 180,463.20 is: 249,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,716.56 : 446,697 = 180,463.20 : x
  2. Step 2: Convert to fraction form
    323,716.56/446,697 = 180,463.20/x
  3. Step 3: Cross multiply
    323,716.56x = 446,697 × 180,463.20
  4. Step 4: Simplify right side
    323,716.56x = 80,612,370,050.40
  5. Step 5: Solve for x
    x = 80,612,370,050.40/323,716.56
  6. Step 6: Final answer
    x = 249,021.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.