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Finding the Fourth Proportional to 403,406.10, 604,653.96 and 178,736.94

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Solution

The fourth proportional to 403,406.10, 604,653.96 and 178,736.94 is: 267,903.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,406.10 : 604,653.96 = 178,736.94 : x
  2. Step 2: Convert to fraction form
    403,406.10/604,653.96 = 178,736.94/x
  3. Step 3: Cross multiply
    403,406.10x = 604,653.96 × 178,736.94
  4. Step 4: Simplify right side
    403,406.10x = 108,073,998,569.28
  5. Step 5: Solve for x
    x = 108,073,998,569.28/403,406.10
  6. Step 6: Final answer
    x = 267,903.73

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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.