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Finding the Fourth Proportional to 343,331.80, 513,960.90 and 301,859.80

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Solution

The fourth proportional to 343,331.80, 513,960.90 and 301,859.80 is: 451,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,331.80 : 513,960.90 = 301,859.80 : x
  2. Step 2: Convert to fraction form
    343,331.80/513,960.90 = 301,859.80/x
  3. Step 3: Cross multiply
    343,331.80x = 513,960.90 × 301,859.80
  4. Step 4: Simplify right side
    343,331.80x = 155,144,134,481.82
  5. Step 5: Solve for x
    x = 155,144,134,481.82/343,331.80
  6. Step 6: Final answer
    x = 451,878.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.