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Finding the Fourth Proportional to 296,581.56, 409,282.65 and 162,445.56

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Solution

The fourth proportional to 296,581.56, 409,282.65 and 162,445.56 is: 224,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,581.56 : 409,282.65 = 162,445.56 : x
  2. Step 2: Convert to fraction form
    296,581.56/409,282.65 = 162,445.56/x
  3. Step 3: Cross multiply
    296,581.56x = 409,282.65 × 162,445.56
  4. Step 4: Simplify right side
    296,581.56x = 66,486,149,277.53
  5. Step 5: Solve for x
    x = 66,486,149,277.53/296,581.56
  6. Step 6: Final answer
    x = 224,174.93

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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.