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Finding the Fourth Proportional to 405,169.90, 558,771.24 and 337,411.24

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Solution

The fourth proportional to 405,169.90, 558,771.24 and 337,411.24 is: 465,325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,169.90 : 558,771.24 = 337,411.24 : x
  2. Step 2: Convert to fraction form
    405,169.90/558,771.24 = 337,411.24/x
  3. Step 3: Cross multiply
    405,169.90x = 558,771.24 × 337,411.24
  4. Step 4: Simplify right side
    405,169.90x = 188,535,696,964.74
  5. Step 5: Solve for x
    x = 188,535,696,964.74/405,169.90
  6. Step 6: Final answer
    x = 465,325.03

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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.