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Finding the Fourth Proportional to 597,888.48, 825,085.68 and 343,255.20

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Solution

The fourth proportional to 597,888.48, 825,085.68 and 343,255.20 is: 473,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,888.48 : 825,085.68 = 343,255.20 : x
  2. Step 2: Convert to fraction form
    597,888.48/825,085.68 = 343,255.20/x
  3. Step 3: Cross multiply
    597,888.48x = 825,085.68 × 343,255.20
  4. Step 4: Simplify right side
    597,888.48x = 283,214,950,105.54
  5. Step 5: Solve for x
    x = 283,214,950,105.54/597,888.48
  6. Step 6: Final answer
    x = 473,691.93

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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.