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Finding the Fourth Proportional to 596,274.94, 822,874.44 and 324,358.12

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Solution

The fourth proportional to 596,274.94, 822,874.44 and 324,358.12 is: 447,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,274.94 : 822,874.44 = 324,358.12 : x
  2. Step 2: Convert to fraction form
    596,274.94/822,874.44 = 324,358.12/x
  3. Step 3: Cross multiply
    596,274.94x = 822,874.44 × 324,358.12
  4. Step 4: Simplify right side
    596,274.94x = 266,906,006,354.45
  5. Step 5: Solve for x
    x = 266,906,006,354.45/596,274.94
  6. Step 6: Final answer
    x = 447,622.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.