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Finding the Fourth Proportional to 458,684.70, 687,754.49 and 174,396.06

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Solution

The fourth proportional to 458,684.70, 687,754.49 and 174,396.06 is: 261,490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,684.70 : 687,754.49 = 174,396.06 : x
  2. Step 2: Convert to fraction form
    458,684.70/687,754.49 = 174,396.06/x
  3. Step 3: Cross multiply
    458,684.70x = 687,754.49 × 174,396.06
  4. Step 4: Simplify right side
    458,684.70x = 119,941,675,458.69
  5. Step 5: Solve for x
    x = 119,941,675,458.69/458,684.70
  6. Step 6: Final answer
    x = 261,490.46

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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.