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Finding the Fourth Proportional to 416,566.47, 624,377.26 and 191,461.80

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Solution

The fourth proportional to 416,566.47, 624,377.26 and 191,461.80 is: 286,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,566.47 : 624,377.26 = 191,461.80 : x
  2. Step 2: Convert to fraction form
    416,566.47/624,377.26 = 191,461.80/x
  3. Step 3: Cross multiply
    416,566.47x = 624,377.26 × 191,461.80
  4. Step 4: Simplify right side
    416,566.47x = 119,544,394,078.67
  5. Step 5: Solve for x
    x = 119,544,394,078.67/416,566.47
  6. Step 6: Final answer
    x = 286,975.56

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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.