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Finding the Fourth Proportional to 456,299.37, 683,966.39 and 171,866.86

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Solution

The fourth proportional to 456,299.37, 683,966.39 and 171,866.86 is: 257,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,299.37 : 683,966.39 = 171,866.86 : x
  2. Step 2: Convert to fraction form
    456,299.37/683,966.39 = 171,866.86/x
  3. Step 3: Cross multiply
    456,299.37x = 683,966.39 × 171,866.86
  4. Step 4: Simplify right side
    456,299.37x = 117,551,151,945.34
  5. Step 5: Solve for x
    x = 117,551,151,945.34/456,299.37
  6. Step 6: Final answer
    x = 257,618.49

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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.