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Finding the Fourth Proportional to 597,780, 824,940.45 and 356,072.76

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Solution

The fourth proportional to 597,780, 824,940.45 and 356,072.76 is: 491,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,780 : 824,940.45 = 356,072.76 : x
  2. Step 2: Convert to fraction form
    597,780/824,940.45 = 356,072.76/x
  3. Step 3: Cross multiply
    597,780x = 824,940.45 × 356,072.76
  4. Step 4: Simplify right side
    597,780x = 293,738,822,867.14
  5. Step 5: Solve for x
    x = 293,738,822,867.14/597,780
  6. Step 6: Final answer
    x = 491,382.82

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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.