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Finding the Fourth Proportional to 416,377.32, 624,567.60 and 100,834.56

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Solution

The fourth proportional to 416,377.32, 624,567.60 and 100,834.56 is: 151,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,377.32 : 624,567.60 = 100,834.56 : x
  2. Step 2: Convert to fraction form
    416,377.32/624,567.60 = 100,834.56/x
  3. Step 3: Cross multiply
    416,377.32x = 624,567.60 × 100,834.56
  4. Step 4: Simplify right side
    416,377.32x = 62,977,999,136.26
  5. Step 5: Solve for x
    x = 62,977,999,136.26/416,377.32
  6. Step 6: Final answer
    x = 151,252.23

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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.