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Finding the Fourth Proportional to 596,178, 822,727.80 and 324,245.88

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Solution

The fourth proportional to 596,178, 822,727.80 and 324,245.88 is: 447,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,178 : 822,727.80 = 324,245.88 : x
  2. Step 2: Convert to fraction form
    596,178/822,727.80 = 324,245.88/x
  3. Step 3: Cross multiply
    596,178x = 822,727.80 × 324,245.88
  4. Step 4: Simplify right side
    596,178x = 266,766,099,511.46
  5. Step 5: Solve for x
    x = 266,766,099,511.46/596,178
  6. Step 6: Final answer
    x = 447,460.49

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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.