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Finding the Fourth Proportional to 532,857, 798,891.84 and 322,448.16

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Solution

The fourth proportional to 532,857, 798,891.84 and 322,448.16 is: 483,434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,857 : 798,891.84 = 322,448.16 : x
  2. Step 2: Convert to fraction form
    532,857/798,891.84 = 322,448.16/x
  3. Step 3: Cross multiply
    532,857x = 798,891.84 × 322,448.16
  4. Step 4: Simplify right side
    532,857x = 257,601,203,847.01
  5. Step 5: Solve for x
    x = 257,601,203,847.01/532,857
  6. Step 6: Final answer
    x = 483,434.02

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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.