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Finding the Fourth Proportional to 304,661.56, 457,085.76 and 136,323.60

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Solution

The fourth proportional to 304,661.56, 457,085.76 and 136,323.60 is: 204,527.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,661.56 : 457,085.76 = 136,323.60 : x
  2. Step 2: Convert to fraction form
    304,661.56/457,085.76 = 136,323.60/x
  3. Step 3: Cross multiply
    304,661.56x = 457,085.76 × 136,323.60
  4. Step 4: Simplify right side
    304,661.56x = 62,311,576,311.94
  5. Step 5: Solve for x
    x = 62,311,576,311.94/304,661.56
  6. Step 6: Final answer
    x = 204,527.20

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Why These Related Problems?

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