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Finding the Fourth Proportional to 388,208.44, 535,739.47 and 211,410.47

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Solution

The fourth proportional to 388,208.44, 535,739.47 and 211,410.47 is: 291,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,208.44 : 535,739.47 = 211,410.47 : x
  2. Step 2: Convert to fraction form
    388,208.44/535,739.47 = 211,410.47/x
  3. Step 3: Cross multiply
    388,208.44x = 535,739.47 × 211,410.47
  4. Step 4: Simplify right side
    388,208.44x = 113,260,933,961.07
  5. Step 5: Solve for x
    x = 113,260,933,961.07/388,208.44
  6. Step 6: Final answer
    x = 291,752.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.