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Finding the Fourth Proportional to 543,388.12, 814,021.86 and 355,831

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Solution

The fourth proportional to 543,388.12, 814,021.86 and 355,831 is: 533,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,388.12 : 814,021.86 = 355,831 : x
  2. Step 2: Convert to fraction form
    543,388.12/814,021.86 = 355,831/x
  3. Step 3: Cross multiply
    543,388.12x = 814,021.86 × 355,831
  4. Step 4: Simplify right side
    543,388.12x = 289,654,212,465.66
  5. Step 5: Solve for x
    x = 289,654,212,465.66/543,388.12
  6. Step 6: Final answer
    x = 533,052.16

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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.