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Finding the Fourth Proportional to 294,372.07, 406,127.16 and 166,973.86

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Solution

The fourth proportional to 294,372.07, 406,127.16 and 166,973.86 is: 230,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,372.07 : 406,127.16 = 166,973.86 : x
  2. Step 2: Convert to fraction form
    294,372.07/406,127.16 = 166,973.86/x
  3. Step 3: Cross multiply
    294,372.07x = 406,127.16 × 166,973.86
  4. Step 4: Simplify right side
    294,372.07x = 67,812,619,556.04
  5. Step 5: Solve for x
    x = 67,812,619,556.04/294,372.07
  6. Step 6: Final answer
    x = 230,363.63

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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.