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Finding the Fourth Proportional to 296,505.79, 409,177.44 and 160,539.86

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Solution

The fourth proportional to 296,505.79, 409,177.44 and 160,539.86 is: 221,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,505.79 : 409,177.44 = 160,539.86 : x
  2. Step 2: Convert to fraction form
    296,505.79/409,177.44 = 160,539.86/x
  3. Step 3: Cross multiply
    296,505.79x = 409,177.44 × 160,539.86
  4. Step 4: Simplify right side
    296,505.79x = 65,689,289,955.70
  5. Step 5: Solve for x
    x = 65,689,289,955.70/296,505.79
  6. Step 6: Final answer
    x = 221,544.71

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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.