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Finding the Fourth Proportional to 399,145.80, 598,718.70 and 355,843.20

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Solution

The fourth proportional to 399,145.80, 598,718.70 and 355,843.20 is: 533,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,145.80 : 598,718.70 = 355,843.20 : x
  2. Step 2: Convert to fraction form
    399,145.80/598,718.70 = 355,843.20/x
  3. Step 3: Cross multiply
    399,145.80x = 598,718.70 × 355,843.20
  4. Step 4: Simplify right side
    399,145.80x = 213,049,978,107.84
  5. Step 5: Solve for x
    x = 213,049,978,107.84/399,145.80
  6. Step 6: Final answer
    x = 533,764.80

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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.