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Finding the Fourth Proportional to 416,414.40, 624,528 and 191,558.94

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Solution

The fourth proportional to 416,414.40, 624,528 and 191,558.94 is: 287,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,414.40 : 624,528 = 191,558.94 : x
  2. Step 2: Convert to fraction form
    416,414.40/624,528 = 191,558.94/x
  3. Step 3: Cross multiply
    416,414.40x = 624,528 × 191,558.94
  4. Step 4: Simplify right side
    416,414.40x = 119,633,921,680.32
  5. Step 5: Solve for x
    x = 119,633,921,680.32/416,414.40
  6. Step 6: Final answer
    x = 287,295.35

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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.