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Finding the Fourth Proportional to 653,532.80, 980,299.97 and 204,256.02

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Solution

The fourth proportional to 653,532.80, 980,299.97 and 204,256.02 is: 306,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,532.80 : 980,299.97 = 204,256.02 : x
  2. Step 2: Convert to fraction form
    653,532.80/980,299.97 = 204,256.02/x
  3. Step 3: Cross multiply
    653,532.80x = 980,299.97 × 204,256.02
  4. Step 4: Simplify right side
    653,532.80x = 200,232,170,278.32
  5. Step 5: Solve for x
    x = 200,232,170,278.32/653,532.80
  6. Step 6: Final answer
    x = 306,384.27

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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.