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Finding the Fourth Proportional to 304,576.52, 420,506.22 and 195,724.92

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Solution

The fourth proportional to 304,576.52, 420,506.22 and 195,724.92 is: 270,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,576.52 : 420,506.22 = 195,724.92 : x
  2. Step 2: Convert to fraction form
    304,576.52/420,506.22 = 195,724.92/x
  3. Step 3: Cross multiply
    304,576.52x = 420,506.22 × 195,724.92
  4. Step 4: Simplify right side
    304,576.52x = 82,303,546,269.00
  5. Step 5: Solve for x
    x = 82,303,546,269.00/304,576.52
  6. Step 6: Final answer
    x = 270,222.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.