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Finding the Fourth Proportional to 322,941.62, 484,461.63 and 165,116.76

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Solution

The fourth proportional to 322,941.62, 484,461.63 and 165,116.76 is: 247,700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,941.62 : 484,461.63 = 165,116.76 : x
  2. Step 2: Convert to fraction form
    322,941.62/484,461.63 = 165,116.76/x
  3. Step 3: Cross multiply
    322,941.62x = 484,461.63 × 165,116.76
  4. Step 4: Simplify right side
    322,941.62x = 79,992,734,689.92
  5. Step 5: Solve for x
    x = 79,992,734,689.92/322,941.62
  6. Step 6: Final answer
    x = 247,700.30

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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.