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Finding the Fourth Proportional to 452,474.08, 678,798.54 and 171,969.46

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Solution

The fourth proportional to 452,474.08, 678,798.54 and 171,969.46 is: 257,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,474.08 : 678,798.54 = 171,969.46 : x
  2. Step 2: Convert to fraction form
    452,474.08/678,798.54 = 171,969.46/x
  3. Step 3: Cross multiply
    452,474.08x = 678,798.54 × 171,969.46
  4. Step 4: Simplify right side
    452,474.08x = 116,732,618,372.59
  5. Step 5: Solve for x
    x = 116,732,618,372.59/452,474.08
  6. Step 6: Final answer
    x = 257,987.42

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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.