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Finding the Fourth Proportional to 456,116.50, 684,197.43 and 323,146.90

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Solution

The fourth proportional to 456,116.50, 684,197.43 and 323,146.90 is: 484,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,116.50 : 684,197.43 = 323,146.90 : x
  2. Step 2: Convert to fraction form
    456,116.50/684,197.43 = 323,146.90/x
  3. Step 3: Cross multiply
    456,116.50x = 684,197.43 × 323,146.90
  4. Step 4: Simplify right side
    456,116.50x = 221,096,278,492.47
  5. Step 5: Solve for x
    x = 221,096,278,492.47/456,116.50
  6. Step 6: Final answer
    x = 484,736.42

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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.