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Finding the Fourth Proportional to 403,744.30, 605,507.10 and 119,434.30

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Solution

The fourth proportional to 403,744.30, 605,507.10 and 119,434.30 is: 179,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,744.30 : 605,507.10 = 119,434.30 : x
  2. Step 2: Convert to fraction form
    403,744.30/605,507.10 = 119,434.30/x
  3. Step 3: Cross multiply
    403,744.30x = 605,507.10 × 119,434.30
  4. Step 4: Simplify right side
    403,744.30x = 72,318,316,633.53
  5. Step 5: Solve for x
    x = 72,318,316,633.53/403,744.30
  6. Step 6: Final answer
    x = 179,119.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.