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Finding the Fourth Proportional to 295,766.20, 442,993.20 and 256,400.20

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Solution

The fourth proportional to 295,766.20, 442,993.20 and 256,400.20 is: 384,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,766.20 : 442,993.20 = 256,400.20 : x
  2. Step 2: Convert to fraction form
    295,766.20/442,993.20 = 256,400.20/x
  3. Step 3: Cross multiply
    295,766.20x = 442,993.20 × 256,400.20
  4. Step 4: Simplify right side
    295,766.20x = 113,583,545,078.64
  5. Step 5: Solve for x
    x = 113,583,545,078.64/295,766.20
  6. Step 6: Final answer
    x = 384,031.53

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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.