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Finding the Fourth Proportional to 296,521, 409,200.42 and 162,385

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Solution

The fourth proportional to 296,521, 409,200.42 and 162,385 is: 224,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,521 : 409,200.42 = 162,385 : x
  2. Step 2: Convert to fraction form
    296,521/409,200.42 = 162,385/x
  3. Step 3: Cross multiply
    296,521x = 409,200.42 × 162,385
  4. Step 4: Simplify right side
    296,521x = 66,448,010,201.70
  5. Step 5: Solve for x
    x = 66,448,010,201.70/296,521
  6. Step 6: Final answer
    x = 224,092.09

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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.