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Finding the Fourth Proportional to 653,682.61, 980,580.41 and 180,367.97

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Solution

The fourth proportional to 653,682.61, 980,580.41 and 180,367.97 is: 270,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,682.61 : 980,580.41 = 180,367.97 : x
  2. Step 2: Convert to fraction form
    653,682.61/980,580.41 = 180,367.97/x
  3. Step 3: Cross multiply
    653,682.61x = 980,580.41 × 180,367.97
  4. Step 4: Simplify right side
    653,682.61x = 176,865,292,337.82
  5. Step 5: Solve for x
    x = 176,865,292,337.82/653,682.61
  6. Step 6: Final answer
    x = 270,567.54

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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.