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Finding the Fourth Proportional to 285,415.80, 428,022.90 and 98,383.80

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Solution

The fourth proportional to 285,415.80, 428,022.90 and 98,383.80 is: 147,540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,415.80 : 428,022.90 = 98,383.80 : x
  2. Step 2: Convert to fraction form
    285,415.80/428,022.90 = 98,383.80/x
  3. Step 3: Cross multiply
    285,415.80x = 428,022.90 × 98,383.80
  4. Step 4: Simplify right side
    285,415.80x = 42,110,519,389.02
  5. Step 5: Solve for x
    x = 42,110,519,389.02/285,415.80
  6. Step 6: Final answer
    x = 147,540.95

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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.