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Finding the Fourth Proportional to 294,622.68, 406,549.01 and 165,540.65

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Solution

The fourth proportional to 294,622.68, 406,549.01 and 165,540.65 is: 228,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,622.68 : 406,549.01 = 165,540.65 : x
  2. Step 2: Convert to fraction form
    294,622.68/406,549.01 = 165,540.65/x
  3. Step 3: Cross multiply
    294,622.68x = 406,549.01 × 165,540.65
  4. Step 4: Simplify right side
    294,622.68x = 67,300,387,372.26
  5. Step 5: Solve for x
    x = 67,300,387,372.26/294,622.68
  6. Step 6: Final answer
    x = 228,429.08

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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.