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Finding the Fourth Proportional to 595,910.81, 822,365.91 and 323,978.09

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Solution

The fourth proportional to 595,910.81, 822,365.91 and 323,978.09 is: 447,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,910.81 : 822,365.91 = 323,978.09 : x
  2. Step 2: Convert to fraction form
    595,910.81/822,365.91 = 323,978.09/x
  3. Step 3: Cross multiply
    595,910.81x = 822,365.91 × 323,978.09
  4. Step 4: Simplify right side
    595,910.81x = 266,428,532,691.08
  5. Step 5: Solve for x
    x = 266,428,532,691.08/595,910.81
  6. Step 6: Final answer
    x = 447,094.64

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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.