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Finding the Fourth Proportional to 499,187.10, 689,446.43 and 335,559.49

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Solution

The fourth proportional to 499,187.10, 689,446.43 and 335,559.49 is: 463,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,187.10 : 689,446.43 = 335,559.49 : x
  2. Step 2: Convert to fraction form
    499,187.10/689,446.43 = 335,559.49/x
  3. Step 3: Cross multiply
    499,187.10x = 689,446.43 × 335,559.49
  4. Step 4: Simplify right side
    499,187.10x = 231,350,292,433.12
  5. Step 5: Solve for x
    x = 231,350,292,433.12/499,187.10
  6. Step 6: Final answer
    x = 463,454.07

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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.