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Finding the Fourth Proportional to 456,483.23, 684,591 and 171,968.50

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Solution

The fourth proportional to 456,483.23, 684,591 and 171,968.50 is: 257,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,483.23 : 684,591 = 171,968.50 : x
  2. Step 2: Convert to fraction form
    456,483.23/684,591 = 171,968.50/x
  3. Step 3: Cross multiply
    456,483.23x = 684,591 × 171,968.50
  4. Step 4: Simplify right side
    456,483.23x = 117,728,087,383.50
  5. Step 5: Solve for x
    x = 117,728,087,383.50/456,483.23
  6. Step 6: Final answer
    x = 257,902.33

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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.