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Finding the Fourth Proportional to 452,468.58, 678,790.31 and 171,963.96

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Solution

The fourth proportional to 452,468.58, 678,790.31 and 171,963.96 is: 257,979.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,468.58 : 678,790.31 = 171,963.96 : x
  2. Step 2: Convert to fraction form
    452,468.58/678,790.31 = 171,963.96/x
  3. Step 3: Cross multiply
    452,468.58x = 678,790.31 × 171,963.96
  4. Step 4: Simplify right side
    452,468.58x = 116,727,468,857.41
  5. Step 5: Solve for x
    x = 116,727,468,857.41/452,468.58
  6. Step 6: Final answer
    x = 257,979.17

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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.