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Finding the Fourth Proportional to 309,573.98, 464,392.76 and 107,169.76

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Solution

The fourth proportional to 309,573.98, 464,392.76 and 107,169.76 is: 160,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,573.98 : 464,392.76 = 107,169.76 : x
  2. Step 2: Convert to fraction form
    309,573.98/464,392.76 = 107,169.76/x
  3. Step 3: Cross multiply
    309,573.98x = 464,392.76 × 107,169.76
  4. Step 4: Simplify right side
    309,573.98x = 49,768,858,938.11
  5. Step 5: Solve for x
    x = 49,768,858,938.11/309,573.98
  6. Step 6: Final answer
    x = 160,765.64

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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.