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Finding the Fourth Proportional to 403,393.41, 604,949.05 and 119,008.44

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Solution

The fourth proportional to 403,393.41, 604,949.05 and 119,008.44 is: 178,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,393.41 : 604,949.05 = 119,008.44 : x
  2. Step 2: Convert to fraction form
    403,393.41/604,949.05 = 119,008.44/x
  3. Step 3: Cross multiply
    403,393.41x = 604,949.05 × 119,008.44
  4. Step 4: Simplify right side
    403,393.41x = 71,994,039,100.19
  5. Step 5: Solve for x
    x = 71,994,039,100.19/403,393.41
  6. Step 6: Final answer
    x = 178,471.03

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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.