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Finding the Fourth Proportional to 538,662.16, 743,351.88 and 312,436.72

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Solution

The fourth proportional to 538,662.16, 743,351.88 and 312,436.72 is: 431,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,662.16 : 743,351.88 = 312,436.72 : x
  2. Step 2: Convert to fraction form
    538,662.16/743,351.88 = 312,436.72/x
  3. Step 3: Cross multiply
    538,662.16x = 743,351.88 × 312,436.72
  4. Step 4: Simplify right side
    538,662.16x = 232,250,423,193.03
  5. Step 5: Solve for x
    x = 232,250,423,193.03/538,662.16
  6. Step 6: Final answer
    x = 431,161.57

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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.