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Finding the Fourth Proportional to 343,540.16, 473,845.56 and 331,979.84

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Solution

The fourth proportional to 343,540.16, 473,845.56 and 331,979.84 is: 457,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,540.16 : 473,845.56 = 331,979.84 : x
  2. Step 2: Convert to fraction form
    343,540.16/473,845.56 = 331,979.84/x
  3. Step 3: Cross multiply
    343,540.16x = 473,845.56 × 331,979.84
  4. Step 4: Simplify right side
    343,540.16x = 157,307,173,193.51
  5. Step 5: Solve for x
    x = 157,307,173,193.51/343,540.16
  6. Step 6: Final answer
    x = 457,900.39

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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.