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Finding the Fourth Proportional to 296,398.50, 409,029.95 and 162,262.50

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Solution

The fourth proportional to 296,398.50, 409,029.95 and 162,262.50 is: 223,922.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,398.50 : 409,029.95 = 162,262.50 : x
  2. Step 2: Convert to fraction form
    296,398.50/409,029.95 = 162,262.50/x
  3. Step 3: Cross multiply
    296,398.50x = 409,029.95 × 162,262.50
  4. Step 4: Simplify right side
    296,398.50x = 66,370,222,261.88
  5. Step 5: Solve for x
    x = 66,370,222,261.88/296,398.50
  6. Step 6: Final answer
    x = 223,922.26

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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.