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Finding the Fourth Proportional to 294,366.86, 406,119.97 and 166,968.64

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Solution

The fourth proportional to 294,366.86, 406,119.97 and 166,968.64 is: 230,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,366.86 : 406,119.97 = 166,968.64 : x
  2. Step 2: Convert to fraction form
    294,366.86/406,119.97 = 166,968.64/x
  3. Step 3: Cross multiply
    294,366.86x = 406,119.97 × 166,968.64
  4. Step 4: Simplify right side
    294,366.86x = 67,809,299,784.10
  5. Step 5: Solve for x
    x = 67,809,299,784.10/294,366.86
  6. Step 6: Final answer
    x = 230,356.43

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1.5x scale

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.