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Finding the Fourth Proportional to 294,559.88, 406,458.41 and 165,480.44

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Solution

The fourth proportional to 294,559.88, 406,458.41 and 165,480.44 is: 228,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,559.88 : 406,458.41 = 165,480.44 : x
  2. Step 2: Convert to fraction form
    294,559.88/406,458.41 = 165,480.44/x
  3. Step 3: Cross multiply
    294,559.88x = 406,458.41 × 165,480.44
  4. Step 4: Simplify right side
    294,559.88x = 67,260,913,668.81
  5. Step 5: Solve for x
    x = 67,260,913,668.81/294,559.88
  6. Step 6: Final answer
    x = 228,343.77

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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.