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Finding the Fourth Proportional to 404,094.80, 606,085.56 and 214,471.76

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Solution

The fourth proportional to 404,094.80, 606,085.56 and 214,471.76 is: 321,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,094.80 : 606,085.56 = 214,471.76 : x
  2. Step 2: Convert to fraction form
    404,094.80/606,085.56 = 214,471.76/x
  3. Step 3: Cross multiply
    404,094.80x = 606,085.56 × 214,471.76
  4. Step 4: Simplify right side
    404,094.80x = 129,988,236,763.79
  5. Step 5: Solve for x
    x = 129,988,236,763.79/404,094.80
  6. Step 6: Final answer
    x = 321,677.58

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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.