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Finding the Fourth Proportional to 270,671.20, 405,661.20 and 208,031.20

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Solution

The fourth proportional to 270,671.20, 405,661.20 and 208,031.20 is: 311,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,671.20 : 405,661.20 = 208,031.20 : x
  2. Step 2: Convert to fraction form
    270,671.20/405,661.20 = 208,031.20/x
  3. Step 3: Cross multiply
    270,671.20x = 405,661.20 × 208,031.20
  4. Step 4: Simplify right side
    270,671.20x = 84,390,186,229.44
  5. Step 5: Solve for x
    x = 84,390,186,229.44/270,671.20
  6. Step 6: Final answer
    x = 311,781.18

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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.