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Finding the Fourth Proportional to 597,512.24, 824,013 and 436,111.64

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Solution

The fourth proportional to 597,512.24, 824,013 and 436,111.64 is: 601,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,512.24 : 824,013 = 436,111.64 : x
  2. Step 2: Convert to fraction form
    597,512.24/824,013 = 436,111.64/x
  3. Step 3: Cross multiply
    597,512.24x = 824,013 × 436,111.64
  4. Step 4: Simplify right side
    597,512.24x = 359,361,660,811.32
  5. Step 5: Solve for x
    x = 359,361,660,811.32/597,512.24
  6. Step 6: Final answer
    x = 601,429.79

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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.