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Finding the Fourth Proportional to 295,712.20, 442,912.20 and 243,224.20

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Solution

The fourth proportional to 295,712.20, 442,912.20 and 243,224.20 is: 364,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,712.20 : 442,912.20 = 243,224.20 : x
  2. Step 2: Convert to fraction form
    295,712.20/442,912.20 = 243,224.20/x
  3. Step 3: Cross multiply
    295,712.20x = 442,912.20 × 243,224.20
  4. Step 4: Simplify right side
    295,712.20x = 107,726,965,515.24
  5. Step 5: Solve for x
    x = 107,726,965,515.24/295,712.20
  6. Step 6: Final answer
    x = 364,296.66

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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.