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Finding the Fourth Proportional to 405,100.64, 558,675.68 and 337,341.98

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Solution

The fourth proportional to 405,100.64, 558,675.68 and 337,341.98 is: 465,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,100.64 : 558,675.68 = 337,341.98 : x
  2. Step 2: Convert to fraction form
    405,100.64/558,675.68 = 337,341.98/x
  3. Step 3: Cross multiply
    405,100.64x = 558,675.68 × 337,341.98
  4. Step 4: Simplify right side
    405,100.64x = 188,464,760,069.05
  5. Step 5: Solve for x
    x = 188,464,760,069.05/405,100.64
  6. Step 6: Final answer
    x = 465,229.48

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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.