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Finding the Fourth Proportional to 309,778.50, 464,554.21 and 107,322.31

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Solution

The fourth proportional to 309,778.50, 464,554.21 and 107,322.31 is: 160,944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,778.50 : 464,554.21 = 107,322.31 : x
  2. Step 2: Convert to fraction form
    309,778.50/464,554.21 = 107,322.31/x
  3. Step 3: Cross multiply
    309,778.50x = 464,554.21 × 107,322.31
  4. Step 4: Simplify right side
    309,778.50x = 49,857,030,937.43
  5. Step 5: Solve for x
    x = 49,857,030,937.43/309,778.50
  6. Step 6: Final answer
    x = 160,944.13

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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.