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Finding the Fourth Proportional to 388,298.09, 535,887.54 and 227,142.92

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Solution

The fourth proportional to 388,298.09, 535,887.54 and 227,142.92 is: 313,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,298.09 : 535,887.54 = 227,142.92 : x
  2. Step 2: Convert to fraction form
    388,298.09/535,887.54 = 227,142.92/x
  3. Step 3: Cross multiply
    388,298.09x = 535,887.54 × 227,142.92
  4. Step 4: Simplify right side
    388,298.09x = 121,723,057,947.78
  5. Step 5: Solve for x
    x = 121,723,057,947.78/388,298.09
  6. Step 6: Final answer
    x = 313,478.39

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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.