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Finding the Fourth Proportional to 597,876.59, 825,144.17 and 343,222.31

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Solution

The fourth proportional to 597,876.59, 825,144.17 and 343,222.31 is: 473,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,876.59 : 825,144.17 = 343,222.31 : x
  2. Step 2: Convert to fraction form
    597,876.59/825,144.17 = 343,222.31/x
  3. Step 3: Cross multiply
    597,876.59x = 825,144.17 × 343,222.31
  4. Step 4: Simplify right side
    597,876.59x = 283,207,888,457.18
  5. Step 5: Solve for x
    x = 283,207,888,457.18/597,876.59
  6. Step 6: Final answer
    x = 473,689.54

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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.