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Finding the Fourth Proportional to 357,788.59, 493,542.67 and 223,419.31

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Solution

The fourth proportional to 357,788.59, 493,542.67 and 223,419.31 is: 308,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,788.59 : 493,542.67 = 223,419.31 : x
  2. Step 2: Convert to fraction form
    357,788.59/493,542.67 = 223,419.31/x
  3. Step 3: Cross multiply
    357,788.59x = 493,542.67 × 223,419.31
  4. Step 4: Simplify right side
    357,788.59x = 110,266,962,786.96
  5. Step 5: Solve for x
    x = 110,266,962,786.96/357,788.59
  6. Step 6: Final answer
    x = 308,190.27

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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.