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Finding the Fourth Proportional to 543,384.16, 814,891.68 and 188,315.20

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Solution

The fourth proportional to 543,384.16, 814,891.68 and 188,315.20 is: 282,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,384.16 : 814,891.68 = 188,315.20 : x
  2. Step 2: Convert to fraction form
    543,384.16/814,891.68 = 188,315.20/x
  3. Step 3: Cross multiply
    543,384.16x = 814,891.68 × 188,315.20
  4. Step 4: Simplify right side
    543,384.16x = 153,456,489,697.54
  5. Step 5: Solve for x
    x = 153,456,489,697.54/543,384.16
  6. Step 6: Final answer
    x = 282,408.84

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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.