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Finding the Fourth Proportional to 285,415.20, 427,815.60 and 107,853.60

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Solution

The fourth proportional to 285,415.20, 427,815.60 and 107,853.60 is: 161,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,415.20 : 427,815.60 = 107,853.60 : x
  2. Step 2: Convert to fraction form
    285,415.20/427,815.60 = 107,853.60/x
  3. Step 3: Cross multiply
    285,415.20x = 427,815.60 × 107,853.60
  4. Step 4: Simplify right side
    285,415.20x = 46,141,452,596.16
  5. Step 5: Solve for x
    x = 46,141,452,596.16/285,415.20
  6. Step 6: Final answer
    x = 161,664.31

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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.