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Finding the Fourth Proportional to 416,006.40, 624,009.60 and 166,867.20

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Solution

The fourth proportional to 416,006.40, 624,009.60 and 166,867.20 is: 250,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,006.40 : 624,009.60 = 166,867.20 : x
  2. Step 2: Convert to fraction form
    416,006.40/624,009.60 = 166,867.20/x
  3. Step 3: Cross multiply
    416,006.40x = 624,009.60 × 166,867.20
  4. Step 4: Simplify right side
    416,006.40x = 104,126,734,725.12
  5. Step 5: Solve for x
    x = 104,126,734,725.12/416,006.40
  6. Step 6: Final answer
    x = 250,300.80

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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.