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Finding the Fourth Proportional to 419,557.59, 629,087.45 and 166,702.41

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Solution

The fourth proportional to 419,557.59, 629,087.45 and 166,702.41 is: 249,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,557.59 : 629,087.45 = 166,702.41 : x
  2. Step 2: Convert to fraction form
    419,557.59/629,087.45 = 166,702.41/x
  3. Step 3: Cross multiply
    419,557.59x = 629,087.45 × 166,702.41
  4. Step 4: Simplify right side
    419,557.59x = 104,870,393,182.24
  5. Step 5: Solve for x
    x = 104,870,393,182.24/419,557.59
  6. Step 6: Final answer
    x = 249,954.70

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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.