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Finding the Fourth Proportional to 296,586.55, 409,284.38 and 160,619.39

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Solution

The fourth proportional to 296,586.55, 409,284.38 and 160,619.39 is: 221,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,586.55 : 409,284.38 = 160,619.39 : x
  2. Step 2: Convert to fraction form
    296,586.55/409,284.38 = 160,619.39/x
  3. Step 3: Cross multiply
    296,586.55x = 409,284.38 × 160,619.39
  4. Step 4: Simplify right side
    296,586.55x = 65,739,007,452.13
  5. Step 5: Solve for x
    x = 65,739,007,452.13/296,586.55
  6. Step 6: Final answer
    x = 221,652.02

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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.