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Finding the Fourth Proportional to 270,772.08, 405,714.24 and 191,744.40

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Solution

The fourth proportional to 270,772.08, 405,714.24 and 191,744.40 is: 287,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,772.08 : 405,714.24 = 191,744.40 : x
  2. Step 2: Convert to fraction form
    270,772.08/405,714.24 = 191,744.40/x
  3. Step 3: Cross multiply
    270,772.08x = 405,714.24 × 191,744.40
  4. Step 4: Simplify right side
    270,772.08x = 77,793,433,520.26
  5. Step 5: Solve for x
    x = 77,793,433,520.26/270,772.08
  6. Step 6: Final answer
    x = 287,302.27

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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.