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Finding the Fourth Proportional to 597,987.56, 825,186.66 and 343,314.92

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Solution

The fourth proportional to 597,987.56, 825,186.66 and 343,314.92 is: 473,753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,987.56 : 825,186.66 = 343,314.92 : x
  2. Step 2: Convert to fraction form
    597,987.56/825,186.66 = 343,314.92/x
  3. Step 3: Cross multiply
    597,987.56x = 825,186.66 × 343,314.92
  4. Step 4: Simplify right side
    597,987.56x = 283,298,892,162.97
  5. Step 5: Solve for x
    x = 283,298,892,162.97/597,987.56
  6. Step 6: Final answer
    x = 473,753.82

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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.