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Finding the Fourth Proportional to 307,527.40, 461,291.10 and 188,813.80

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Solution

The fourth proportional to 307,527.40, 461,291.10 and 188,813.80 is: 283,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,527.40 : 461,291.10 = 188,813.80 : x
  2. Step 2: Convert to fraction form
    307,527.40/461,291.10 = 188,813.80/x
  3. Step 3: Cross multiply
    307,527.40x = 461,291.10 × 188,813.80
  4. Step 4: Simplify right side
    307,527.40x = 87,098,125,497.18
  5. Step 5: Solve for x
    x = 87,098,125,497.18/307,527.40
  6. Step 6: Final answer
    x = 283,220.70

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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.