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Finding the Fourth Proportional to 405,166.89, 558,767.10 and 337,408.23

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Solution

The fourth proportional to 405,166.89, 558,767.10 and 337,408.23 is: 465,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,166.89 : 558,767.10 = 337,408.23 : x
  2. Step 2: Convert to fraction form
    405,166.89/558,767.10 = 337,408.23/x
  3. Step 3: Cross multiply
    405,166.89x = 558,767.10 × 337,408.23
  4. Step 4: Simplify right side
    405,166.89x = 188,532,618,193.23
  5. Step 5: Solve for x
    x = 188,532,618,193.23/405,166.89
  6. Step 6: Final answer
    x = 465,320.89

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1.5x scale

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.