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Finding the Fourth Proportional to 294,809.89, 406,852.05 and 165,788.95

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Solution

The fourth proportional to 294,809.89, 406,852.05 and 165,788.95 is: 228,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,809.89 : 406,852.05 = 165,788.95 : x
  2. Step 2: Convert to fraction form
    294,809.89/406,852.05 = 165,788.95/x
  3. Step 3: Cross multiply
    294,809.89x = 406,852.05 × 165,788.95
  4. Step 4: Simplify right side
    294,809.89x = 67,451,574,174.85
  5. Step 5: Solve for x
    x = 67,451,574,174.85/294,809.89
  6. Step 6: Final answer
    x = 228,796.85

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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.