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Finding the Fourth Proportional to 510,516.42, 765,865.83 and 173,539.36

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Solution

The fourth proportional to 510,516.42, 765,865.83 and 173,539.36 is: 260,340.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,516.42 : 765,865.83 = 173,539.36 : x
  2. Step 2: Convert to fraction form
    510,516.42/765,865.83 = 173,539.36/x
  3. Step 3: Cross multiply
    510,516.42x = 765,865.83 × 173,539.36
  4. Step 4: Simplify right side
    510,516.42x = 132,907,867,592.17
  5. Step 5: Solve for x
    x = 132,907,867,592.17/510,516.42
  6. Step 6: Final answer
    x = 260,340.04

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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.