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Finding the Fourth Proportional to 498,010.75, 747,022.62 and 165,586.75

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Solution

The fourth proportional to 498,010.75, 747,022.62 and 165,586.75 is: 248,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,010.75 : 747,022.62 = 165,586.75 : x
  2. Step 2: Convert to fraction form
    498,010.75/747,022.62 = 165,586.75/x
  3. Step 3: Cross multiply
    498,010.75x = 747,022.62 × 165,586.75
  4. Step 4: Simplify right side
    498,010.75x = 123,697,047,822.29
  5. Step 5: Solve for x
    x = 123,697,047,822.29/498,010.75
  6. Step 6: Final answer
    x = 248,382.28

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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.