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Finding the Fourth Proportional to 597,805.68, 824,930.58 and 336,200.10

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Solution

The fourth proportional to 597,805.68, 824,930.58 and 336,200.10 is: 463,932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,805.68 : 824,930.58 = 336,200.10 : x
  2. Step 2: Convert to fraction form
    597,805.68/824,930.58 = 336,200.10/x
  3. Step 3: Cross multiply
    597,805.68x = 824,930.58 × 336,200.10
  4. Step 4: Simplify right side
    597,805.68x = 277,341,743,489.06
  5. Step 5: Solve for x
    x = 277,341,743,489.06/597,805.68
  6. Step 6: Final answer
    x = 463,932.93

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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.