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Finding the Fourth Proportional to 473,100.23, 709,660.39 and 169,514.15

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Solution

The fourth proportional to 473,100.23, 709,660.39 and 169,514.15 is: 254,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,100.23 : 709,660.39 = 169,514.15 : x
  2. Step 2: Convert to fraction form
    473,100.23/709,660.39 = 169,514.15/x
  3. Step 3: Cross multiply
    473,100.23x = 709,660.39 × 169,514.15
  4. Step 4: Simplify right side
    473,100.23x = 120,297,477,799.52
  5. Step 5: Solve for x
    x = 120,297,477,799.52/473,100.23
  6. Step 6: Final answer
    x = 254,274.83

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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.