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Finding the Fourth Proportional to 595,822.38, 822,143.07 and 354,015.42

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Solution

The fourth proportional to 595,822.38, 822,143.07 and 354,015.42 is: 488,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,822.38 : 822,143.07 = 354,015.42 : x
  2. Step 2: Convert to fraction form
    595,822.38/822,143.07 = 354,015.42/x
  3. Step 3: Cross multiply
    595,822.38x = 822,143.07 × 354,015.42
  4. Step 4: Simplify right side
    595,822.38x = 291,051,324,226.14
  5. Step 5: Solve for x
    x = 291,051,324,226.14/595,822.38
  6. Step 6: Final answer
    x = 488,486.73

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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.