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Finding the Fourth Proportional to 403,767.10, 605,431.95 and 166,842.10

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Solution

The fourth proportional to 403,767.10, 605,431.95 and 166,842.10 is: 250,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,767.10 : 605,431.95 = 166,842.10 : x
  2. Step 2: Convert to fraction form
    403,767.10/605,431.95 = 166,842.10/x
  3. Step 3: Cross multiply
    403,767.10x = 605,431.95 × 166,842.10
  4. Step 4: Simplify right side
    403,767.10x = 101,011,537,945.10
  5. Step 5: Solve for x
    x = 101,011,537,945.10/403,767.10
  6. Step 6: Final answer
    x = 250,172.78

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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.