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Finding the Fourth Proportional to 294,790.49, 406,769.86 and 165,710.72

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Solution

The fourth proportional to 294,790.49, 406,769.86 and 165,710.72 is: 228,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,790.49 : 406,769.86 = 165,710.72 : x
  2. Step 2: Convert to fraction form
    294,790.49/406,769.86 = 165,710.72/x
  3. Step 3: Cross multiply
    294,790.49x = 406,769.86 × 165,710.72
  4. Step 4: Simplify right side
    294,790.49x = 67,406,124,548.19
  5. Step 5: Solve for x
    x = 67,406,124,548.19/294,790.49
  6. Step 6: Final answer
    x = 228,657.73

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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.