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Finding the Fourth Proportional to 419,818.33, 629,354.65 and 163,591.58

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Solution

The fourth proportional to 419,818.33, 629,354.65 and 163,591.58 is: 245,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,818.33 : 629,354.65 = 163,591.58 : x
  2. Step 2: Convert to fraction form
    419,818.33/629,354.65 = 163,591.58/x
  3. Step 3: Cross multiply
    419,818.33x = 629,354.65 × 163,591.58
  4. Step 4: Simplify right side
    419,818.33x = 102,957,118,427.07
  5. Step 5: Solve for x
    x = 102,957,118,427.07/419,818.33
  6. Step 6: Final answer
    x = 245,242.08

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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.