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Finding the Fourth Proportional to 301,576.55, 416,317.32 and 174,227.54

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Solution

The fourth proportional to 301,576.55, 416,317.32 and 174,227.54 is: 240,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,576.55 : 416,317.32 = 174,227.54 : x
  2. Step 2: Convert to fraction form
    301,576.55/416,317.32 = 174,227.54/x
  3. Step 3: Cross multiply
    301,576.55x = 416,317.32 × 174,227.54
  4. Step 4: Simplify right side
    301,576.55x = 72,533,940,441.41
  5. Step 5: Solve for x
    x = 72,533,940,441.41/301,576.55
  6. Step 6: Final answer
    x = 240,515.85

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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.