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Finding the Fourth Proportional to 294,818.85, 406,808.91 and 165,739.68

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Solution

The fourth proportional to 294,818.85, 406,808.91 and 165,739.68 is: 228,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,818.85 : 406,808.91 = 165,739.68 : x
  2. Step 2: Convert to fraction form
    294,818.85/406,808.91 = 165,739.68/x
  3. Step 3: Cross multiply
    294,818.85x = 406,808.91 × 165,739.68
  4. Step 4: Simplify right side
    294,818.85x = 67,424,378,564.55
  5. Step 5: Solve for x
    x = 67,424,378,564.55/294,818.85
  6. Step 6: Final answer
    x = 228,697.65

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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.