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Finding the Fourth Proportional to 364,086.20, 547,295.70 and 259,628.60

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Solution

The fourth proportional to 364,086.20, 547,295.70 and 259,628.60 is: 390,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,086.20 : 547,295.70 = 259,628.60 : x
  2. Step 2: Convert to fraction form
    364,086.20/547,295.70 = 259,628.60/x
  3. Step 3: Cross multiply
    364,086.20x = 547,295.70 × 259,628.60
  4. Step 4: Simplify right side
    364,086.20x = 142,093,616,377.02
  5. Step 5: Solve for x
    x = 142,093,616,377.02/364,086.20
  6. Step 6: Final answer
    x = 390,274.66

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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.