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Finding the Fourth Proportional to 595,929.71, 822,399.12 and 324,015.86

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Solution

The fourth proportional to 595,929.71, 822,399.12 and 324,015.86 is: 447,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,929.71 : 822,399.12 = 324,015.86 : x
  2. Step 2: Convert to fraction form
    595,929.71/822,399.12 = 324,015.86/x
  3. Step 3: Cross multiply
    595,929.71x = 822,399.12 × 324,015.86
  4. Step 4: Simplify right side
    595,929.71x = 266,470,354,018.05
  5. Step 5: Solve for x
    x = 266,470,354,018.05/595,929.71
  6. Step 6: Final answer
    x = 447,150.65

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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.