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Finding the Fourth Proportional to 595,715.20, 822,092.46 and 323,783.71

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Solution

The fourth proportional to 595,715.20, 822,092.46 and 323,783.71 is: 446,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,715.20 : 822,092.46 = 323,783.71 : x
  2. Step 2: Convert to fraction form
    595,715.20/822,092.46 = 323,783.71/x
  3. Step 3: Cross multiply
    595,715.20x = 822,092.46 × 323,783.71
  4. Step 4: Simplify right side
    595,715.20x = 266,180,146,661.83
  5. Step 5: Solve for x
    x = 266,180,146,661.83/595,715.20
  6. Step 6: Final answer
    x = 446,824.50

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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.