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Finding the Fourth Proportional to 653,818.44, 980,784.12 and 180,503.88

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Solution

The fourth proportional to 653,818.44, 980,784.12 and 180,503.88 is: 270,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,818.44 : 980,784.12 = 180,503.88 : x
  2. Step 2: Convert to fraction form
    653,818.44/980,784.12 = 180,503.88/x
  3. Step 3: Cross multiply
    653,818.44x = 980,784.12 × 180,503.88
  4. Step 4: Simplify right side
    653,818.44x = 177,035,339,102.39
  5. Step 5: Solve for x
    x = 177,035,339,102.39/653,818.44
  6. Step 6: Final answer
    x = 270,771.41

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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.