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Finding the Fourth Proportional to 307,838.40, 462,103.20 and 238,027.20

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Solution

The fourth proportional to 307,838.40, 462,103.20 and 238,027.20 is: 357,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,838.40 : 462,103.20 = 238,027.20 : x
  2. Step 2: Convert to fraction form
    307,838.40/462,103.20 = 238,027.20/x
  3. Step 3: Cross multiply
    307,838.40x = 462,103.20 × 238,027.20
  4. Step 4: Simplify right side
    307,838.40x = 109,993,130,807.04
  5. Step 5: Solve for x
    x = 109,993,130,807.04/307,838.40
  6. Step 6: Final answer
    x = 357,308.03

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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.