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Finding the Fourth Proportional to 312,000.30, 468,000.45 and 259,512.30

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Solution

The fourth proportional to 312,000.30, 468,000.45 and 259,512.30 is: 389,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,000.30 : 468,000.45 = 259,512.30 : x
  2. Step 2: Convert to fraction form
    312,000.30/468,000.45 = 259,512.30/x
  3. Step 3: Cross multiply
    312,000.30x = 468,000.45 × 259,512.30
  4. Step 4: Simplify right side
    312,000.30x = 121,451,873,180.54
  5. Step 5: Solve for x
    x = 121,451,873,180.54/312,000.30
  6. Step 6: Final answer
    x = 389,268.45

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1.5x scale

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.