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Finding the Fourth Proportional to 597,770.63, 824,932.10 and 325,838.57

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Solution

The fourth proportional to 597,770.63, 824,932.10 and 325,838.57 is: 449,661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,770.63 : 824,932.10 = 325,838.57 : x
  2. Step 2: Convert to fraction form
    597,770.63/824,932.10 = 325,838.57/x
  3. Step 3: Cross multiply
    597,770.63x = 824,932.10 × 325,838.57
  4. Step 4: Simplify right side
    597,770.63x = 268,794,698,688.02
  5. Step 5: Solve for x
    x = 268,794,698,688.02/597,770.63
  6. Step 6: Final answer
    x = 449,661.94

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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.