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Finding the Fourth Proportional to 294,241.62, 406,094.79 and 171,774.16

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Solution

The fourth proportional to 294,241.62, 406,094.79 and 171,774.16 is: 237,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,241.62 : 406,094.79 = 171,774.16 : x
  2. Step 2: Convert to fraction form
    294,241.62/406,094.79 = 171,774.16/x
  3. Step 3: Cross multiply
    294,241.62x = 406,094.79 × 171,774.16
  4. Step 4: Simplify right side
    294,241.62x = 69,756,591,432.63
  5. Step 5: Solve for x
    x = 69,756,591,432.63/294,241.62
  6. Step 6: Final answer
    x = 237,072.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.