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Finding the Fourth Proportional to 599,952, 827,951.04 and 331,697.28

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Solution

The fourth proportional to 599,952, 827,951.04 and 331,697.28 is: 457,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,952 : 827,951.04 = 331,697.28 : x
  2. Step 2: Convert to fraction form
    599,952/827,951.04 = 331,697.28/x
  3. Step 3: Cross multiply
    599,952x = 827,951.04 × 331,697.28
  4. Step 4: Simplify right side
    599,952x = 274,629,107,941.17
  5. Step 5: Solve for x
    x = 274,629,107,941.17/599,952
  6. Step 6: Final answer
    x = 457,751.80

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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.