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Finding the Fourth Proportional to 296,212, 408,772.56 and 162,076

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Solution

The fourth proportional to 296,212, 408,772.56 and 162,076 is: 223,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,212 : 408,772.56 = 162,076 : x
  2. Step 2: Convert to fraction form
    296,212/408,772.56 = 162,076/x
  3. Step 3: Cross multiply
    296,212x = 408,772.56 × 162,076
  4. Step 4: Simplify right side
    296,212x = 66,252,221,434.56
  5. Step 5: Solve for x
    x = 66,252,221,434.56/296,212
  6. Step 6: Final answer
    x = 223,664.88

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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.