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Finding the Fourth Proportional to 597,616, 896,577.60 and 203,632

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Solution

The fourth proportional to 597,616, 896,577.60 and 203,632 is: 305,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,616 : 896,577.60 = 203,632 : x
  2. Step 2: Convert to fraction form
    597,616/896,577.60 = 203,632/x
  3. Step 3: Cross multiply
    597,616x = 896,577.60 × 203,632
  4. Step 4: Simplify right side
    597,616x = 182,571,889,843.20
  5. Step 5: Solve for x
    x = 182,571,889,843.20/597,616
  6. Step 6: Final answer
    x = 305,500.34

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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.