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Finding the Fourth Proportional to 307,828.80, 460,868.40 and 272,836.80

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Solution

The fourth proportional to 307,828.80, 460,868.40 and 272,836.80 is: 408,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,828.80 : 460,868.40 = 272,836.80 : x
  2. Step 2: Convert to fraction form
    307,828.80/460,868.40 = 272,836.80/x
  3. Step 3: Cross multiply
    307,828.80x = 460,868.40 × 272,836.80
  4. Step 4: Simplify right side
    307,828.80x = 125,741,859,477.12
  5. Step 5: Solve for x
    x = 125,741,859,477.12/307,828.80
  6. Step 6: Final answer
    x = 408,479.84

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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.