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Finding the Fourth Proportional to 595,711.71, 822,087.63 and 323,780.22

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Solution

The fourth proportional to 595,711.71, 822,087.63 and 323,780.22 is: 446,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,711.71 : 822,087.63 = 323,780.22 : x
  2. Step 2: Convert to fraction form
    595,711.71/822,087.63 = 323,780.22/x
  3. Step 3: Cross multiply
    595,711.71x = 822,087.63 × 323,780.22
  4. Step 4: Simplify right side
    595,711.71x = 266,175,713,700.68
  5. Step 5: Solve for x
    x = 266,175,713,700.68/595,711.71
  6. Step 6: Final answer
    x = 446,819.68

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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.