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Finding the Fourth Proportional to 496,259.67, 744,463.32 and 230,047.10

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Solution

The fourth proportional to 496,259.67, 744,463.32 and 230,047.10 is: 345,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,259.67 : 744,463.32 = 230,047.10 : x
  2. Step 2: Convert to fraction form
    496,259.67/744,463.32 = 230,047.10/x
  3. Step 3: Cross multiply
    496,259.67x = 744,463.32 × 230,047.10
  4. Step 4: Simplify right side
    496,259.67x = 171,261,627,822.37
  5. Step 5: Solve for x
    x = 171,261,627,822.37/496,259.67
  6. Step 6: Final answer
    x = 345,104.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.