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Finding the Fourth Proportional to 294,768.83, 406,758.59 and 165,686.80

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Solution

The fourth proportional to 294,768.83, 406,758.59 and 165,686.80 is: 228,635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,768.83 : 406,758.59 = 165,686.80 : x
  2. Step 2: Convert to fraction form
    294,768.83/406,758.59 = 165,686.80/x
  3. Step 3: Cross multiply
    294,768.83x = 406,758.59 × 165,686.80
  4. Step 4: Simplify right side
    294,768.83x = 67,394,526,795.83
  5. Step 5: Solve for x
    x = 67,394,526,795.83/294,768.83
  6. Step 6: Final answer
    x = 228,635.19

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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.