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Finding the Fourth Proportional to 416,781.58, 624,508.07 and 266,898.58

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Solution

The fourth proportional to 416,781.58, 624,508.07 and 266,898.58 is: 399,922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,781.58 : 624,508.07 = 266,898.58 : x
  2. Step 2: Convert to fraction form
    416,781.58/624,508.07 = 266,898.58/x
  3. Step 3: Cross multiply
    416,781.58x = 624,508.07 × 266,898.58
  4. Step 4: Simplify right side
    416,781.58x = 166,680,317,081.54
  5. Step 5: Solve for x
    x = 166,680,317,081.54/416,781.58
  6. Step 6: Final answer
    x = 399,922.47

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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.