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Finding the Fourth Proportional to 419,816.33, 629,818.05 and 153,570.95

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Solution

The fourth proportional to 419,816.33, 629,818.05 and 153,570.95 is: 230,390.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,816.33 : 629,818.05 = 153,570.95 : x
  2. Step 2: Convert to fraction form
    419,816.33/629,818.05 = 153,570.95/x
  3. Step 3: Cross multiply
    419,816.33x = 629,818.05 × 153,570.95
  4. Step 4: Simplify right side
    419,816.33x = 96,721,756,265.65
  5. Step 5: Solve for x
    x = 96,721,756,265.65/419,816.33
  6. Step 6: Final answer
    x = 230,390.65

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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.