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Finding the Fourth Proportional to 312,030.40, 468,045.60 and 280,537.60

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Solution

The fourth proportional to 312,030.40, 468,045.60 and 280,537.60 is: 420,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,030.40 : 468,045.60 = 280,537.60 : x
  2. Step 2: Convert to fraction form
    312,030.40/468,045.60 = 280,537.60/x
  3. Step 3: Cross multiply
    312,030.40x = 468,045.60 × 280,537.60
  4. Step 4: Simplify right side
    312,030.40x = 131,304,389,314.56
  5. Step 5: Solve for x
    x = 131,304,389,314.56/312,030.40
  6. Step 6: Final answer
    x = 420,806.40

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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.