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Finding the Fourth Proportional to 340,230.94, 469,514.99 and 187,265.86

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Solution

The fourth proportional to 340,230.94, 469,514.99 and 187,265.86 is: 258,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,230.94 : 469,514.99 = 187,265.86 : x
  2. Step 2: Convert to fraction form
    340,230.94/469,514.99 = 187,265.86/x
  3. Step 3: Cross multiply
    340,230.94x = 469,514.99 × 187,265.86
  4. Step 4: Simplify right side
    340,230.94x = 87,924,126,037.67
  5. Step 5: Solve for x
    x = 87,924,126,037.67/340,230.94
  6. Step 6: Final answer
    x = 258,424.84

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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.