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Finding the Fourth Proportional to 539,819, 809,175.54 and 224,459

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Solution

The fourth proportional to 539,819, 809,175.54 and 224,459 is: 336,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,819 : 809,175.54 = 224,459 : x
  2. Step 2: Convert to fraction form
    539,819/809,175.54 = 224,459/x
  3. Step 3: Cross multiply
    539,819x = 809,175.54 × 224,459
  4. Step 4: Simplify right side
    539,819x = 181,626,732,532.86
  5. Step 5: Solve for x
    x = 181,626,732,532.86/539,819
  6. Step 6: Final answer
    x = 336,458.58

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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.