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Finding the Fourth Proportional to 416,428.80, 624,934.80 and 267,032.40

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Solution

The fourth proportional to 416,428.80, 624,934.80 and 267,032.40 is: 400,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,428.80 : 624,934.80 = 267,032.40 : x
  2. Step 2: Convert to fraction form
    416,428.80/624,934.80 = 267,032.40/x
  3. Step 3: Cross multiply
    416,428.80x = 624,934.80 × 267,032.40
  4. Step 4: Simplify right side
    416,428.80x = 166,877,839,487.52
  5. Step 5: Solve for x
    x = 166,877,839,487.52/416,428.80
  6. Step 6: Final answer
    x = 400,735.59

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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.