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Finding the Fourth Proportional to 618,208.37, 853,419.73 and 414,392.42

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Solution

The fourth proportional to 618,208.37, 853,419.73 and 414,392.42 is: 572,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,208.37 : 853,419.73 = 414,392.42 : x
  2. Step 2: Convert to fraction form
    618,208.37/853,419.73 = 414,392.42/x
  3. Step 3: Cross multiply
    618,208.37x = 853,419.73 × 414,392.42
  4. Step 4: Simplify right side
    618,208.37x = 353,650,662,923.35
  5. Step 5: Solve for x
    x = 353,650,662,923.35/618,208.37
  6. Step 6: Final answer
    x = 572,057.39

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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.