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Finding the Fourth Proportional to 296,042.41, 408,513.84 and 166,973.77

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Solution

The fourth proportional to 296,042.41, 408,513.84 and 166,973.77 is: 230,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,042.41 : 408,513.84 = 166,973.77 : x
  2. Step 2: Convert to fraction form
    296,042.41/408,513.84 = 166,973.77/x
  3. Step 3: Cross multiply
    296,042.41x = 408,513.84 × 166,973.77
  4. Step 4: Simplify right side
    296,042.41x = 68,211,095,961.98
  5. Step 5: Solve for x
    x = 68,211,095,961.98/296,042.41
  6. Step 6: Final answer
    x = 230,409.88

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1.5x scale

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.