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Finding the Fourth Proportional to 416,364.94, 624,453.96 and 191,509.36

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Solution

The fourth proportional to 416,364.94, 624,453.96 and 191,509.36 is: 287,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,364.94 : 624,453.96 = 191,509.36 : x
  2. Step 2: Convert to fraction form
    416,364.94/624,453.96 = 191,509.36/x
  3. Step 3: Cross multiply
    416,364.94x = 624,453.96 × 191,509.36
  4. Step 4: Simplify right side
    416,364.94x = 119,588,778,229.07
  5. Step 5: Solve for x
    x = 119,588,778,229.07/416,364.94
  6. Step 6: Final answer
    x = 287,221.06

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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.