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Finding the Fourth Proportional to 294,373.80, 406,243.31 and 165,322.58

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Solution

The fourth proportional to 294,373.80, 406,243.31 and 165,322.58 is: 228,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,373.80 : 406,243.31 = 165,322.58 : x
  2. Step 2: Convert to fraction form
    294,373.80/406,243.31 = 165,322.58/x
  3. Step 3: Cross multiply
    294,373.80x = 406,243.31 × 165,322.58
  4. Step 4: Simplify right side
    294,373.80x = 67,161,189,259.11
  5. Step 5: Solve for x
    x = 67,161,189,259.11/294,373.80
  6. Step 6: Final answer
    x = 228,149.34

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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.