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Finding the Fourth Proportional to 399,506.26, 550,605.71 and 302,477.66

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Solution

The fourth proportional to 399,506.26, 550,605.71 and 302,477.66 is: 416,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,506.26 : 550,605.71 = 302,477.66 : x
  2. Step 2: Convert to fraction form
    399,506.26/550,605.71 = 302,477.66/x
  3. Step 3: Cross multiply
    399,506.26x = 550,605.71 × 302,477.66
  4. Step 4: Simplify right side
    399,506.26x = 166,545,926,743.44
  5. Step 5: Solve for x
    x = 166,545,926,743.44/399,506.26
  6. Step 6: Final answer
    x = 416,879.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.