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Finding the Fourth Proportional to 263,296.96, 362,971.88 and 187,714.24

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Solution

The fourth proportional to 263,296.96, 362,971.88 and 187,714.24 is: 258,776.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,296.96 : 362,971.88 = 187,714.24 : x
  2. Step 2: Convert to fraction form
    263,296.96/362,971.88 = 187,714.24/x
  3. Step 3: Cross multiply
    263,296.96x = 362,971.88 × 187,714.24
  4. Step 4: Simplify right side
    263,296.96x = 68,134,990,595.57
  5. Step 5: Solve for x
    x = 68,134,990,595.57/263,296.96
  6. Step 6: Final answer
    x = 258,776.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.