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Finding the Fourth Proportional to 416,257.92, 624,376.98 and 238,634.64

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Solution

The fourth proportional to 416,257.92, 624,376.98 and 238,634.64 is: 357,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,257.92 : 624,376.98 = 238,634.64 : x
  2. Step 2: Convert to fraction form
    416,257.92/624,376.98 = 238,634.64/x
  3. Step 3: Cross multiply
    416,257.92x = 624,376.98 × 238,634.64
  4. Step 4: Simplify right side
    416,257.92x = 148,997,975,846.59
  5. Step 5: Solve for x
    x = 148,997,975,846.59/416,257.92
  6. Step 6: Final answer
    x = 357,946.28

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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.