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Finding the Fourth Proportional to 296,505.54, 409,177.10 and 160,539.62

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Solution

The fourth proportional to 296,505.54, 409,177.10 and 160,539.62 is: 221,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,505.54 : 409,177.10 = 160,539.62 : x
  2. Step 2: Convert to fraction form
    296,505.54/409,177.10 = 160,539.62/x
  3. Step 3: Cross multiply
    296,505.54x = 409,177.10 × 160,539.62
  4. Step 4: Simplify right side
    296,505.54x = 65,689,136,146.70
  5. Step 5: Solve for x
    x = 65,689,136,146.70/296,505.54
  6. Step 6: Final answer
    x = 221,544.38

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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.