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Finding the Fourth Proportional to 475,616.56, 656,351.73 and 257,824.56

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Solution

The fourth proportional to 475,616.56, 656,351.73 and 257,824.56 is: 355,798.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,616.56 : 656,351.73 = 257,824.56 : x
  2. Step 2: Convert to fraction form
    475,616.56/656,351.73 = 257,824.56/x
  3. Step 3: Cross multiply
    475,616.56x = 656,351.73 × 257,824.56
  4. Step 4: Simplify right side
    475,616.56x = 169,223,595,992.49
  5. Step 5: Solve for x
    x = 169,223,595,992.49/475,616.56
  6. Step 6: Final answer
    x = 355,798.37

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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.