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Finding the Fourth Proportional to 384,266.84, 576,485.91 and 118,054.26

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Solution

The fourth proportional to 384,266.84, 576,485.91 and 118,054.26 is: 177,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,266.84 : 576,485.91 = 118,054.26 : x
  2. Step 2: Convert to fraction form
    384,266.84/576,485.91 = 118,054.26/x
  3. Step 3: Cross multiply
    384,266.84x = 576,485.91 × 118,054.26
  4. Step 4: Simplify right side
    384,266.84x = 68,056,617,505.48
  5. Step 5: Solve for x
    x = 68,056,617,505.48/384,266.84
  6. Step 6: Final answer
    x = 177,107.71

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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.