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Finding the Fourth Proportional to 597,101.52, 825,049.28 and 477,232

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Solution

The fourth proportional to 597,101.52, 825,049.28 and 477,232 is: 659,418.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,101.52 : 825,049.28 = 477,232 : x
  2. Step 2: Convert to fraction form
    597,101.52/825,049.28 = 477,232/x
  3. Step 3: Cross multiply
    597,101.52x = 825,049.28 × 477,232
  4. Step 4: Simplify right side
    597,101.52x = 393,739,917,992.96
  5. Step 5: Solve for x
    x = 393,739,917,992.96/597,101.52
  6. Step 6: Final answer
    x = 659,418.72

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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.