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Finding the Fourth Proportional to 595,682.12, 822,047.64 and 323,750

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Solution

The fourth proportional to 595,682.12, 822,047.64 and 323,750 is: 446,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,682.12 : 822,047.64 = 323,750 : x
  2. Step 2: Convert to fraction form
    595,682.12/822,047.64 = 323,750/x
  3. Step 3: Cross multiply
    595,682.12x = 822,047.64 × 323,750
  4. Step 4: Simplify right side
    595,682.12x = 266,137,923,450
  5. Step 5: Solve for x
    x = 266,137,923,450/595,682.12
  6. Step 6: Final answer
    x = 446,778.43

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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.