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Finding the Fourth Proportional to 296,766.66, 409,311.90 and 255,444

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Solution

The fourth proportional to 296,766.66, 409,311.90 and 255,444 is: 352,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,766.66 : 409,311.90 = 255,444 : x
  2. Step 2: Convert to fraction form
    296,766.66/409,311.90 = 255,444/x
  3. Step 3: Cross multiply
    296,766.66x = 409,311.90 × 255,444
  4. Step 4: Simplify right side
    296,766.66x = 104,556,268,983.60
  5. Step 5: Solve for x
    x = 104,556,268,983.60/296,766.66
  6. Step 6: Final answer
    x = 352,318.11

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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.