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Finding the Fourth Proportional to 384,283.44, 576,432 and 118,046.25

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Solution

The fourth proportional to 384,283.44, 576,432 and 118,046.25 is: 177,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,283.44 : 576,432 = 118,046.25 : x
  2. Step 2: Convert to fraction form
    384,283.44/576,432 = 118,046.25/x
  3. Step 3: Cross multiply
    384,283.44x = 576,432 × 118,046.25
  4. Step 4: Simplify right side
    384,283.44x = 68,045,635,980
  5. Step 5: Solve for x
    x = 68,045,635,980/384,283.44
  6. Step 6: Final answer
    x = 177,071.48

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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.