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Finding the Fourth Proportional to 539,823, 809,181.54 and 224,463

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Solution

The fourth proportional to 539,823, 809,181.54 and 224,463 is: 336,464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,823 : 809,181.54 = 224,463 : x
  2. Step 2: Convert to fraction form
    539,823/809,181.54 = 224,463/x
  3. Step 3: Cross multiply
    539,823x = 809,181.54 × 224,463
  4. Step 4: Simplify right side
    539,823x = 181,631,316,013.02
  5. Step 5: Solve for x
    x = 181,631,316,013.02/539,823
  6. Step 6: Final answer
    x = 336,464.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.