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Finding the Fourth Proportional to 294,706.96, 406,730.18 and 165,645.61

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Solution

The fourth proportional to 294,706.96, 406,730.18 and 165,645.61 is: 228,610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,706.96 : 406,730.18 = 165,645.61 : x
  2. Step 2: Convert to fraction form
    294,706.96/406,730.18 = 165,645.61/x
  3. Step 3: Cross multiply
    294,706.96x = 406,730.18 × 165,645.61
  4. Step 4: Simplify right side
    294,706.96x = 67,373,068,771.51
  5. Step 5: Solve for x
    x = 67,373,068,771.51/294,706.96
  6. Step 6: Final answer
    x = 228,610.38

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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.