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Finding the Fourth Proportional to 415,453.50, 622,930.86 and 190,532.16

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Solution

The fourth proportional to 415,453.50, 622,930.86 and 190,532.16 is: 285,683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,453.50 : 622,930.86 = 190,532.16 : x
  2. Step 2: Convert to fraction form
    415,453.50/622,930.86 = 190,532.16/x
  3. Step 3: Cross multiply
    415,453.50x = 622,930.86 × 190,532.16
  4. Step 4: Simplify right side
    415,453.50x = 118,688,362,286.46
  5. Step 5: Solve for x
    x = 118,688,362,286.46/415,453.50
  6. Step 6: Final answer
    x = 285,683.87

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1.5x scale

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.