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Finding the Fourth Proportional to 416,076.32, 624,140.40 and 166,725.92

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Solution

The fourth proportional to 416,076.32, 624,140.40 and 166,725.92 is: 250,099.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,076.32 : 624,140.40 = 166,725.92 : x
  2. Step 2: Convert to fraction form
    416,076.32/624,140.40 = 166,725.92/x
  3. Step 3: Cross multiply
    416,076.32x = 624,140.40 × 166,725.92
  4. Step 4: Simplify right side
    416,076.32x = 104,060,382,399.17
  5. Step 5: Solve for x
    x = 104,060,382,399.17/416,076.32
  6. Step 6: Final answer
    x = 250,099.27

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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.