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Finding the Fourth Proportional to 296,744.64, 409,494.24 and 162,605.76

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Solution

The fourth proportional to 296,744.64, 409,494.24 and 162,605.76 is: 224,388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,744.64 : 409,494.24 = 162,605.76 : x
  2. Step 2: Convert to fraction form
    296,744.64/409,494.24 = 162,605.76/x
  3. Step 3: Cross multiply
    296,744.64x = 409,494.24 × 162,605.76
  4. Step 4: Simplify right side
    296,744.64x = 66,586,122,110.82
  5. Step 5: Solve for x
    x = 66,586,122,110.82/296,744.64
  6. Step 6: Final answer
    x = 224,388.63

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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.