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Finding the Fourth Proportional to 537,094.80, 741,132.72 and 310,698

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Solution

The fourth proportional to 537,094.80, 741,132.72 and 310,698 is: 428,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,094.80 : 741,132.72 = 310,698 : x
  2. Step 2: Convert to fraction form
    537,094.80/741,132.72 = 310,698/x
  3. Step 3: Cross multiply
    537,094.80x = 741,132.72 × 310,698
  4. Step 4: Simplify right side
    537,094.80x = 230,268,453,838.56
  5. Step 5: Solve for x
    x = 230,268,453,838.56/537,094.80
  6. Step 6: Final answer
    x = 428,729.63

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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.