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Finding the Fourth Proportional to 309,973.77, 464,516.64 and 176,578.61

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Solution

The fourth proportional to 309,973.77, 464,516.64 and 176,578.61 is: 264,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,973.77 : 464,516.64 = 176,578.61 : x
  2. Step 2: Convert to fraction form
    309,973.77/464,516.64 = 176,578.61/x
  3. Step 3: Cross multiply
    309,973.77x = 464,516.64 × 176,578.61
  4. Step 4: Simplify right side
    309,973.77x = 82,023,700,290.49
  5. Step 5: Solve for x
    x = 82,023,700,290.49/309,973.77
  6. Step 6: Final answer
    x = 264,614.97

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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.