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Finding the Fourth Proportional to 296,320, 408,924.48 and 162,186.88

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Solution

The fourth proportional to 296,320, 408,924.48 and 162,186.88 is: 223,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,320 : 408,924.48 = 162,186.88 : x
  2. Step 2: Convert to fraction form
    296,320/408,924.48 = 162,186.88/x
  3. Step 3: Cross multiply
    296,320x = 408,924.48 × 162,186.88
  4. Step 4: Simplify right side
    296,320x = 66,322,185,566.82
  5. Step 5: Solve for x
    x = 66,322,185,566.82/296,320
  6. Step 6: Final answer
    x = 223,819.47

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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.