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Finding the Fourth Proportional to 295,213.60, 442,820.40 and 270,719.20

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Solution

The fourth proportional to 295,213.60, 442,820.40 and 270,719.20 is: 406,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,213.60 : 442,820.40 = 270,719.20 : x
  2. Step 2: Convert to fraction form
    295,213.60/442,820.40 = 270,719.20/x
  3. Step 3: Cross multiply
    295,213.60x = 442,820.40 × 270,719.20
  4. Step 4: Simplify right side
    295,213.60x = 119,879,984,431.68
  5. Step 5: Solve for x
    x = 119,879,984,431.68/295,213.60
  6. Step 6: Final answer
    x = 406,078.80

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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.