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Finding the Fourth Proportional to 309,386.94, 464,229.72 and 169,141.92

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Solution

The fourth proportional to 309,386.94, 464,229.72 and 169,141.92 is: 253,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,386.94 : 464,229.72 = 169,141.92 : x
  2. Step 2: Convert to fraction form
    309,386.94/464,229.72 = 169,141.92/x
  3. Step 3: Cross multiply
    309,386.94x = 464,229.72 × 169,141.92
  4. Step 4: Simplify right side
    309,386.94x = 78,520,706,161.86
  5. Step 5: Solve for x
    x = 78,520,706,161.86/309,386.94
  6. Step 6: Final answer
    x = 253,794.51

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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.