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Finding the Fourth Proportional to 411,744.68, 614,814.34 and 363,309.64

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Solution

The fourth proportional to 411,744.68, 614,814.34 and 363,309.64 is: 542,491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,744.68 : 614,814.34 = 363,309.64 : x
  2. Step 2: Convert to fraction form
    411,744.68/614,814.34 = 363,309.64/x
  3. Step 3: Cross multiply
    411,744.68x = 614,814.34 × 363,309.64
  4. Step 4: Simplify right side
    411,744.68x = 223,367,975,789.94
  5. Step 5: Solve for x
    x = 223,367,975,789.94/411,744.68
  6. Step 6: Final answer
    x = 542,491.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.