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Finding the Fourth Proportional to 405,167.89, 558,768.48 and 337,409.23

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Solution

The fourth proportional to 405,167.89, 558,768.48 and 337,409.23 is: 465,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,167.89 : 558,768.48 = 337,409.23 : x
  2. Step 2: Convert to fraction form
    405,167.89/558,768.48 = 337,409.23/x
  3. Step 3: Cross multiply
    405,167.89x = 558,768.48 × 337,409.23
  4. Step 4: Simplify right side
    405,167.89x = 188,533,642,585.07
  5. Step 5: Solve for x
    x = 188,533,642,585.07/405,167.89
  6. Step 6: Final answer
    x = 465,322.27

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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.