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Finding the Fourth Proportional to 295,203.60, 442,805.40 and 270,709.20

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Solution

The fourth proportional to 295,203.60, 442,805.40 and 270,709.20 is: 406,063.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,203.60 : 442,805.40 = 270,709.20 : x
  2. Step 2: Convert to fraction form
    295,203.60/442,805.40 = 270,709.20/x
  3. Step 3: Cross multiply
    295,203.60x = 442,805.40 × 270,709.20
  4. Step 4: Simplify right side
    295,203.60x = 119,871,495,589.68
  5. Step 5: Solve for x
    x = 119,871,495,589.68/295,203.60
  6. Step 6: Final answer
    x = 406,063.80

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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.