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Finding the Fourth Proportional to 409,838.60, 614,844.30 and 173,059.40

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Solution

The fourth proportional to 409,838.60, 614,844.30 and 173,059.40 is: 259,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,838.60 : 614,844.30 = 173,059.40 : x
  2. Step 2: Convert to fraction form
    409,838.60/614,844.30 = 173,059.40/x
  3. Step 3: Cross multiply
    409,838.60x = 614,844.30 × 173,059.40
  4. Step 4: Simplify right side
    409,838.60x = 106,404,585,651.42
  5. Step 5: Solve for x
    x = 106,404,585,651.42/409,838.60
  6. Step 6: Final answer
    x = 259,625.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.