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Finding the Fourth Proportional to 596,008.35, 822,493 and 324,076.09

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Solution

The fourth proportional to 596,008.35, 822,493 and 324,076.09 is: 447,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,008.35 : 822,493 = 324,076.09 : x
  2. Step 2: Convert to fraction form
    596,008.35/822,493 = 324,076.09/x
  3. Step 3: Cross multiply
    596,008.35x = 822,493 × 324,076.09
  4. Step 4: Simplify right side
    596,008.35x = 266,550,315,492.37
  5. Step 5: Solve for x
    x = 266,550,315,492.37/596,008.35
  6. Step 6: Final answer
    x = 447,225.81

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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.