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Finding the Fourth Proportional to 595,838.05, 822,261.86 and 323,906.47

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Solution

The fourth proportional to 595,838.05, 822,261.86 and 323,906.47 is: 446,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,838.05 : 822,261.86 = 323,906.47 : x
  2. Step 2: Convert to fraction form
    595,838.05/822,261.86 = 323,906.47/x
  3. Step 3: Cross multiply
    595,838.05x = 822,261.86 × 323,906.47
  4. Step 4: Simplify right side
    595,838.05x = 266,335,935,429.32
  5. Step 5: Solve for x
    x = 266,335,935,429.32/595,838.05
  6. Step 6: Final answer
    x = 446,993.84

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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.