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Finding the Fourth Proportional to 653,805.69, 980,764.97 and 180,491.10

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Solution

The fourth proportional to 653,805.69, 980,764.97 and 180,491.10 is: 270,752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,805.69 : 980,764.97 = 180,491.10 : x
  2. Step 2: Convert to fraction form
    653,805.69/980,764.97 = 180,491.10/x
  3. Step 3: Cross multiply
    653,805.69x = 980,764.97 × 180,491.10
  4. Step 4: Simplify right side
    653,805.69x = 177,019,348,276.77
  5. Step 5: Solve for x
    x = 177,019,348,276.77/653,805.69
  6. Step 6: Final answer
    x = 270,752.23

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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.