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Finding the Fourth Proportional to 461,625.75, 692,528.40 and 177,295.50

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Solution

The fourth proportional to 461,625.75, 692,528.40 and 177,295.50 is: 265,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,625.75 : 692,528.40 = 177,295.50 : x
  2. Step 2: Convert to fraction form
    461,625.75/692,528.40 = 177,295.50/x
  3. Step 3: Cross multiply
    461,625.75x = 692,528.40 × 177,295.50
  4. Step 4: Simplify right side
    461,625.75x = 122,782,168,942.20
  5. Step 5: Solve for x
    x = 122,782,168,942.20/461,625.75
  6. Step 6: Final answer
    x = 265,977.73

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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.