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Finding the Fourth Proportional to 595,725.72, 822,106.96 and 323,794.22

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Solution

The fourth proportional to 595,725.72, 822,106.96 and 323,794.22 is: 446,838.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,725.72 : 822,106.96 = 323,794.22 : x
  2. Step 2: Convert to fraction form
    595,725.72/822,106.96 = 323,794.22/x
  3. Step 3: Cross multiply
    595,725.72x = 822,106.96 × 323,794.22
  4. Step 4: Simplify right side
    595,725.72x = 266,193,481,869.77
  5. Step 5: Solve for x
    x = 266,193,481,869.77/595,725.72
  6. Step 6: Final answer
    x = 446,838.99

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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.