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Finding the Fourth Proportional to 294,819.85, 406,810.29 and 165,740.68

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Solution

The fourth proportional to 294,819.85, 406,810.29 and 165,740.68 is: 228,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,819.85 : 406,810.29 = 165,740.68 : x
  2. Step 2: Convert to fraction form
    294,819.85/406,810.29 = 165,740.68/x
  3. Step 3: Cross multiply
    294,819.85x = 406,810.29 × 165,740.68
  4. Step 4: Simplify right side
    294,819.85x = 67,425,014,095.60
  5. Step 5: Solve for x
    x = 67,425,014,095.60/294,819.85
  6. Step 6: Final answer
    x = 228,699.03

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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.