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Finding the Fourth Proportional to 597,769.63, 824,891.98 and 339,612.74

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Solution

The fourth proportional to 597,769.63, 824,891.98 and 339,612.74 is: 468,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,769.63 : 824,891.98 = 339,612.74 : x
  2. Step 2: Convert to fraction form
    597,769.63/824,891.98 = 339,612.74/x
  3. Step 3: Cross multiply
    597,769.63x = 824,891.98 × 339,612.74
  4. Step 4: Simplify right side
    597,769.63x = 280,143,822,173.29
  5. Step 5: Solve for x
    x = 280,143,822,173.29/597,769.63
  6. Step 6: Final answer
    x = 468,648.47

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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.