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Finding the Fourth Proportional to 452,202.54, 678,399.81 and 171,713.58

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Solution

The fourth proportional to 452,202.54, 678,399.81 and 171,713.58 is: 257,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,202.54 : 678,399.81 = 171,713.58 : x
  2. Step 2: Convert to fraction form
    452,202.54/678,399.81 = 171,713.58/x
  3. Step 3: Cross multiply
    452,202.54x = 678,399.81 × 171,713.58
  4. Step 4: Simplify right side
    452,202.54x = 116,490,460,046.42
  5. Step 5: Solve for x
    x = 116,490,460,046.42/452,202.54
  6. Step 6: Final answer
    x = 257,606.82

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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.