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Finding the Fourth Proportional to 264,098.40, 396,925.20 and 259,432.80

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Solution

The fourth proportional to 264,098.40, 396,925.20 and 259,432.80 is: 389,913.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,098.40 : 396,925.20 = 259,432.80 : x
  2. Step 2: Convert to fraction form
    264,098.40/396,925.20 = 259,432.80/x
  3. Step 3: Cross multiply
    264,098.40x = 396,925.20 × 259,432.80
  4. Step 4: Simplify right side
    264,098.40x = 102,975,416,026.56
  5. Step 5: Solve for x
    x = 102,975,416,026.56/264,098.40
  6. Step 6: Final answer
    x = 389,913.06

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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.