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Finding the Fourth Proportional to 269,285.58, 403,913.70 and 82,282.50

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Solution

The fourth proportional to 269,285.58, 403,913.70 and 82,282.50 is: 123,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,285.58 : 403,913.70 = 82,282.50 : x
  2. Step 2: Convert to fraction form
    269,285.58/403,913.70 = 82,282.50/x
  3. Step 3: Cross multiply
    269,285.58x = 403,913.70 × 82,282.50
  4. Step 4: Simplify right side
    269,285.58x = 33,235,029,020.25
  5. Step 5: Solve for x
    x = 33,235,029,020.25/269,285.58
  6. Step 6: Final answer
    x = 123,419.27

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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.