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Finding the Fourth Proportional to 270,654.10, 405,981.15 and 256,138.90

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Solution

The fourth proportional to 270,654.10, 405,981.15 and 256,138.90 is: 384,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,654.10 : 405,981.15 = 256,138.90 : x
  2. Step 2: Convert to fraction form
    270,654.10/405,981.15 = 256,138.90/x
  3. Step 3: Cross multiply
    270,654.10x = 405,981.15 × 256,138.90
  4. Step 4: Simplify right side
    270,654.10x = 103,987,565,181.74
  5. Step 5: Solve for x
    x = 103,987,565,181.74/270,654.10
  6. Step 6: Final answer
    x = 384,208.35

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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.