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Finding the Fourth Proportional to 595,727.70, 822,109.74 and 323,796.22

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Solution

The fourth proportional to 595,727.70, 822,109.74 and 323,796.22 is: 446,841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,727.70 : 822,109.74 = 323,796.22 : x
  2. Step 2: Convert to fraction form
    595,727.70/822,109.74 = 323,796.22/x
  3. Step 3: Cross multiply
    595,727.70x = 822,109.74 × 323,796.22
  4. Step 4: Simplify right side
    595,727.70x = 266,196,026,237.18
  5. Step 5: Solve for x
    x = 266,196,026,237.18/595,727.70
  6. Step 6: Final answer
    x = 446,841.78

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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.