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Finding the Fourth Proportional to 403,916.93, 605,689.14 and 119,505.78

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Solution

The fourth proportional to 403,916.93, 605,689.14 and 119,505.78 is: 179,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,916.93 : 605,689.14 = 119,505.78 : x
  2. Step 2: Convert to fraction form
    403,916.93/605,689.14 = 119,505.78/x
  3. Step 3: Cross multiply
    403,916.93x = 605,689.14 × 119,505.78
  4. Step 4: Simplify right side
    403,916.93x = 72,383,353,561.38
  5. Step 5: Solve for x
    x = 72,383,353,561.38/403,916.93
  6. Step 6: Final answer
    x = 179,203.56

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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.