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Finding the Fourth Proportional to 653,810.44, 980,772.08 and 180,495.84

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Solution

The fourth proportional to 653,810.44, 980,772.08 and 180,495.84 is: 270,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,810.44 : 980,772.08 = 180,495.84 : x
  2. Step 2: Convert to fraction form
    653,810.44/980,772.08 = 180,495.84/x
  3. Step 3: Cross multiply
    653,810.44x = 980,772.08 × 180,495.84
  4. Step 4: Simplify right side
    653,810.44x = 177,025,280,428.15
  5. Step 5: Solve for x
    x = 177,025,280,428.15/653,810.44
  6. Step 6: Final answer
    x = 270,759.34

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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.