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Finding the Fourth Proportional to 340,417.86, 469,767.51 and 189,514.86

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Solution

The fourth proportional to 340,417.86, 469,767.51 and 189,514.86 is: 261,525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,417.86 : 469,767.51 = 189,514.86 : x
  2. Step 2: Convert to fraction form
    340,417.86/469,767.51 = 189,514.86/x
  3. Step 3: Cross multiply
    340,417.86x = 469,767.51 × 189,514.86
  4. Step 4: Simplify right side
    340,417.86x = 89,027,923,890.20
  5. Step 5: Solve for x
    x = 89,027,923,890.20/340,417.86
  6. Step 6: Final answer
    x = 261,525.42

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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.