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Finding the Fourth Proportional to 321,514.95, 443,727.17 and 185,585.39

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Solution

The fourth proportional to 321,514.95, 443,727.17 and 185,585.39 is: 256,128.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,514.95 : 443,727.17 = 185,585.39 : x
  2. Step 2: Convert to fraction form
    321,514.95/443,727.17 = 185,585.39/x
  3. Step 3: Cross multiply
    321,514.95x = 443,727.17 × 185,585.39
  4. Step 4: Simplify right side
    321,514.95x = 82,349,276,751.48
  5. Step 5: Solve for x
    x = 82,349,276,751.48/321,514.95
  6. Step 6: Final answer
    x = 256,128.92

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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.