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Finding the Fourth Proportional to 361,884.20, 542,826.30 and 256,908.20

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Solution

The fourth proportional to 361,884.20, 542,826.30 and 256,908.20 is: 385,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,884.20 : 542,826.30 = 256,908.20 : x
  2. Step 2: Convert to fraction form
    361,884.20/542,826.30 = 256,908.20/x
  3. Step 3: Cross multiply
    361,884.20x = 542,826.30 × 256,908.20
  4. Step 4: Simplify right side
    361,884.20x = 139,456,527,645.66
  5. Step 5: Solve for x
    x = 139,456,527,645.66/361,884.20
  6. Step 6: Final answer
    x = 385,362.30

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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.